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Finding the Third Proportional to 614,064 and 935,952

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Solution

The third proportional to 614,064 and 935,952 is: 1,426,571.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,064 : 935,952 = 935,952 : x
  2. Step 2: Convert to fraction form
    614,064/935,952 = 935,952/x
  3. Step 3: Cross multiply
    614,064x = 935,952 × 935,952
  4. Step 4: Simplify right side
    614,064x = 876,006,146,304
  5. Step 5: Solve for x
    x = 876,006,146,304/614,064
  6. Step 6: Final answer
    x = 1,426,571.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.