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Finding the Third Proportional to 408,789,372 and 896,721,246

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Solution

The third proportional to 408,789,372 and 896,721,246 is: 1,967,049,654.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789,372 : 896,721,246 = 896,721,246 : x
  2. Step 2: Convert to fraction form
    408,789,372/896,721,246 = 896,721,246/x
  3. Step 3: Cross multiply
    408,789,372x = 896,721,246 × 896,721,246
  4. Step 4: Simplify right side
    408,789,372x = 804,108,993,027,792,512
  5. Step 5: Solve for x
    x = 804,108,993,027,792,512/408,789,372
  6. Step 6: Final answer
    x = 1,967,049,654.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.