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Finding the Third Proportional to 617,921 and 935,594

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Solution

The third proportional to 617,921 and 935,594 is: 1,416,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,921 : 935,594 = 935,594 : x
  2. Step 2: Convert to fraction form
    617,921/935,594 = 935,594/x
  3. Step 3: Cross multiply
    617,921x = 935,594 × 935,594
  4. Step 4: Simplify right side
    617,921x = 875,336,132,836
  5. Step 5: Solve for x
    x = 875,336,132,836/617,921
  6. Step 6: Final answer
    x = 1,416,582.59

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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.