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Finding the Third Proportional to 614,635 and 930,522

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Solution

The third proportional to 614,635 and 930,522 is: 1,408,756.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,635 : 930,522 = 930,522 : x
  2. Step 2: Convert to fraction form
    614,635/930,522 = 930,522/x
  3. Step 3: Cross multiply
    614,635x = 930,522 × 930,522
  4. Step 4: Simplify right side
    614,635x = 865,871,192,484
  5. Step 5: Solve for x
    x = 865,871,192,484/614,635
  6. Step 6: Final answer
    x = 1,408,756.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.