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Finding the Third Proportional to 546,103,306 and 798,717,398

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Solution

The third proportional to 546,103,306 and 798,717,398 is: 1,168,184,617.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,103,306 : 798,717,398 = 798,717,398 : x
  2. Step 2: Convert to fraction form
    546,103,306/798,717,398 = 798,717,398/x
  3. Step 3: Cross multiply
    546,103,306x = 798,717,398 × 798,717,398
  4. Step 4: Simplify right side
    546,103,306x = 637,949,481,867,890,432
  5. Step 5: Solve for x
    x = 637,949,481,867,890,432/546,103,306
  6. Step 6: Final answer
    x = 1,168,184,617.93

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.