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Finding the Third Proportional to 614,348 and 930,112

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Solution

The third proportional to 614,348 and 930,112 is: 1,408,173.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,348 : 930,112 = 930,112 : x
  2. Step 2: Convert to fraction form
    614,348/930,112 = 930,112/x
  3. Step 3: Cross multiply
    614,348x = 930,112 × 930,112
  4. Step 4: Simplify right side
    614,348x = 865,108,332,544
  5. Step 5: Solve for x
    x = 865,108,332,544/614,348
  6. Step 6: Final answer
    x = 1,408,173.11

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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.