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Finding the Third Proportional to 444,707 and 972,453

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Solution

The third proportional to 444,707 and 972,453 is: 2,126,489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,707 : 972,453 = 972,453 : x
  2. Step 2: Convert to fraction form
    444,707/972,453 = 972,453/x
  3. Step 3: Cross multiply
    444,707x = 972,453 × 972,453
  4. Step 4: Simplify right side
    444,707x = 945,664,837,209
  5. Step 5: Solve for x
    x = 945,664,837,209/444,707
  6. Step 6: Final answer
    x = 2,126,489.66

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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.