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Finding the Third Proportional to 408,046,385 and 885,371,081

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Solution

The third proportional to 408,046,385 and 885,371,081 is: 1,921,060,888.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,385 : 885,371,081 = 885,371,081 : x
  2. Step 2: Convert to fraction form
    408,046,385/885,371,081 = 885,371,081/x
  3. Step 3: Cross multiply
    408,046,385x = 885,371,081 × 885,371,081
  4. Step 4: Simplify right side
    408,046,385x = 783,881,951,071,108,608
  5. Step 5: Solve for x
    x = 783,881,951,071,108,608/408,046,385
  6. Step 6: Final answer
    x = 1,921,060,888.88

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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.