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Finding the Third Proportional to 492,570,165 and 1,070,877,288

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Solution

The third proportional to 492,570,165 and 1,070,877,288 is: 2,328,151,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,570,165 : 1,070,877,288 = 1,070,877,288 : x
  2. Step 2: Convert to fraction form
    492,570,165/1,070,877,288 = 1,070,877,288/x
  3. Step 3: Cross multiply
    492,570,165x = 1,070,877,288 × 1,070,877,288
  4. Step 4: Simplify right side
    492,570,165x = 1,146,778,165,954,234,880
  5. Step 5: Solve for x
    x = 1,146,778,165,954,234,880/492,570,165
  6. Step 6: Final answer
    x = 2,328,151,900.87

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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.