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Finding the Third Proportional to 617,235 and 961,940

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Solution

The third proportional to 617,235 and 961,940 is: 1,499,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,235 : 961,940 = 961,940 : x
  2. Step 2: Convert to fraction form
    617,235/961,940 = 961,940/x
  3. Step 3: Cross multiply
    617,235x = 961,940 × 961,940
  4. Step 4: Simplify right side
    617,235x = 925,328,563,600
  5. Step 5: Solve for x
    x = 925,328,563,600/617,235
  6. Step 6: Final answer
    x = 1,499,151.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.