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Finding the Third Proportional to 410,698,372 and 616,127,046

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Solution

The third proportional to 410,698,372 and 616,127,046 is: 924,309,816.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,698,372 : 616,127,046 = 616,127,046 : x
  2. Step 2: Convert to fraction form
    410,698,372/616,127,046 = 616,127,046/x
  3. Step 3: Cross multiply
    410,698,372x = 616,127,046 × 616,127,046
  4. Step 4: Simplify right side
    410,698,372x = 379,612,536,812,686,144
  5. Step 5: Solve for x
    x = 379,612,536,812,686,144/410,698,372
  6. Step 6: Final answer
    x = 924,309,816.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.