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Finding the Third Proportional to 444,959 and 921,462

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Solution

The third proportional to 444,959 and 921,462 is: 1,908,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,959 : 921,462 = 921,462 : x
  2. Step 2: Convert to fraction form
    444,959/921,462 = 921,462/x
  3. Step 3: Cross multiply
    444,959x = 921,462 × 921,462
  4. Step 4: Simplify right side
    444,959x = 849,092,217,444
  5. Step 5: Solve for x
    x = 849,092,217,444/444,959
  6. Step 6: Final answer
    x = 1,908,248.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.