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Finding the Third Proportional to 444,557 and 972,058

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Solution

The third proportional to 444,557 and 972,058 is: 2,125,479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,557 : 972,058 = 972,058 : x
  2. Step 2: Convert to fraction form
    444,557/972,058 = 972,058/x
  3. Step 3: Cross multiply
    444,557x = 972,058 × 972,058
  4. Step 4: Simplify right side
    444,557x = 944,896,755,364
  5. Step 5: Solve for x
    x = 944,896,755,364/444,557
  6. Step 6: Final answer
    x = 2,125,479.42

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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.