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Finding the Third Proportional to 617,943 and 935,622

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Solution

The third proportional to 617,943 and 935,622 is: 1,416,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,943 : 935,622 = 935,622 : x
  2. Step 2: Convert to fraction form
    617,943/935,622 = 935,622/x
  3. Step 3: Cross multiply
    617,943x = 935,622 × 935,622
  4. Step 4: Simplify right side
    617,943x = 875,388,526,884
  5. Step 5: Solve for x
    x = 875,388,526,884/617,943
  6. Step 6: Final answer
    x = 1,416,616.95

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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.