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Finding the Third Proportional to 408,789,447 and 896,721,402

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Solution

The third proportional to 408,789,447 and 896,721,402 is: 1,967,049,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789,447 : 896,721,402 = 896,721,402 : x
  2. Step 2: Convert to fraction form
    408,789,447/896,721,402 = 896,721,402/x
  3. Step 3: Cross multiply
    408,789,447x = 896,721,402 × 896,721,402
  4. Step 4: Simplify right side
    408,789,447x = 804,109,272,804,845,568
  5. Step 5: Solve for x
    x = 804,109,272,804,845,568/408,789,447
  6. Step 6: Final answer
    x = 1,967,049,978.19

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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.