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Finding the Third Proportional to 617,196 and 961,882

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Solution

The third proportional to 617,196 and 961,882 is: 1,499,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,196 : 961,882 = 961,882 : x
  2. Step 2: Convert to fraction form
    617,196/961,882 = 961,882/x
  3. Step 3: Cross multiply
    617,196x = 961,882 × 961,882
  4. Step 4: Simplify right side
    617,196x = 925,216,981,924
  5. Step 5: Solve for x
    x = 925,216,981,924/617,196
  6. Step 6: Final answer
    x = 1,499,065.10

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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.