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Finding the Third Proportional to 492,570,132.75 and 1,070,877,226.50

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Solution

The third proportional to 492,570,132.75 and 1,070,877,226.50 is: 2,328,151,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,570,132.75 : 1,070,877,226.50 = 1,070,877,226.50 : x
  2. Step 2: Convert to fraction form
    492,570,132.75/1,070,877,226.50 = 1,070,877,226.50/x
  3. Step 3: Cross multiply
    492,570,132.75x = 1,070,877,226.50 × 1,070,877,226.50
  4. Step 4: Simplify right side
    492,570,132.75x = 1,146,778,034,236,332,288
  5. Step 5: Solve for x
    x = 1,146,778,034,236,332,288/492,570,132.75
  6. Step 6: Final answer
    x = 2,328,151,785.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.