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Finding the Third Proportional to 614,472 and 953,676

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Solution

The third proportional to 614,472 and 953,676 is: 1,480,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,472 : 953,676 = 953,676 : x
  2. Step 2: Convert to fraction form
    614,472/953,676 = 953,676/x
  3. Step 3: Cross multiply
    614,472x = 953,676 × 953,676
  4. Step 4: Simplify right side
    614,472x = 909,497,912,976
  5. Step 5: Solve for x
    x = 909,497,912,976/614,472
  6. Step 6: Final answer
    x = 1,480,129.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.