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Finding the Third Proportional to 408,789,444 and 896,721,396

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Solution

The third proportional to 408,789,444 and 896,721,396 is: 1,967,049,966.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789,444 : 896,721,396 = 896,721,396 : x
  2. Step 2: Convert to fraction form
    408,789,444/896,721,396 = 896,721,396/x
  3. Step 3: Cross multiply
    408,789,444x = 896,721,396 × 896,721,396
  4. Step 4: Simplify right side
    408,789,444x = 804,109,262,044,188,800
  5. Step 5: Solve for x
    x = 804,109,262,044,188,800/408,789,444
  6. Step 6: Final answer
    x = 1,967,049,966.30

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Why These Related Problems?

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