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Finding the Third Proportional to 626,068 and 935,413

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Solution

The third proportional to 626,068 and 935,413 is: 1,397,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,068 : 935,413 = 935,413 : x
  2. Step 2: Convert to fraction form
    626,068/935,413 = 935,413/x
  3. Step 3: Cross multiply
    626,068x = 935,413 × 935,413
  4. Step 4: Simplify right side
    626,068x = 874,997,480,569
  5. Step 5: Solve for x
    x = 874,997,480,569/626,068
  6. Step 6: Final answer
    x = 1,397,607.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.