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Finding the Third Proportional to 617,917 and 935,590

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Solution

The third proportional to 617,917 and 935,590 is: 1,416,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,917 : 935,590 = 935,590 : x
  2. Step 2: Convert to fraction form
    617,917/935,590 = 935,590/x
  3. Step 3: Cross multiply
    617,917x = 935,590 × 935,590
  4. Step 4: Simplify right side
    617,917x = 875,328,648,100
  5. Step 5: Solve for x
    x = 875,328,648,100/617,917
  6. Step 6: Final answer
    x = 1,416,579.65

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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.