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Finding the Third Proportional to 924,862,428 and 1,336,266,496

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Solution

The third proportional to 924,862,428 and 1,336,266,496 is: 1,930,674,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,862,428 : 1,336,266,496 = 1,336,266,496 : x
  2. Step 2: Convert to fraction form
    924,862,428/1,336,266,496 = 1,336,266,496/x
  3. Step 3: Cross multiply
    924,862,428x = 1,336,266,496 × 1,336,266,496
  4. Step 4: Simplify right side
    924,862,428x = 1,785,608,148,332,118,016
  5. Step 5: Solve for x
    x = 1,785,608,148,332,118,016/924,862,428
  6. Step 6: Final answer
    x = 1,930,674,329.80

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.