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Finding the Third Proportional to 498,211,649.25 and 1,070,359,506.75

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Solution

The third proportional to 498,211,649.25 and 1,070,359,506.75 is: 2,299,563,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,211,649.25 : 1,070,359,506.75 = 1,070,359,506.75 : x
  2. Step 2: Convert to fraction form
    498,211,649.25/1,070,359,506.75 = 1,070,359,506.75/x
  3. Step 3: Cross multiply
    498,211,649.25x = 1,070,359,506.75 × 1,070,359,506.75
  4. Step 4: Simplify right side
    498,211,649.25x = 1,145,669,473,690,103,296
  5. Step 5: Solve for x
    x = 1,145,669,473,690,103,296/498,211,649.25
  6. Step 6: Final answer
    x = 2,299,563,800.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.