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Finding the Third Proportional to 617,206 and 961,896

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Solution

The third proportional to 617,206 and 961,896 is: 1,499,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,206 : 961,896 = 961,896 : x
  2. Step 2: Convert to fraction form
    617,206/961,896 = 961,896/x
  3. Step 3: Cross multiply
    617,206x = 961,896 × 961,896
  4. Step 4: Simplify right side
    617,206x = 925,243,914,816
  5. Step 5: Solve for x
    x = 925,243,914,816/617,206
  6. Step 6: Final answer
    x = 1,499,084.45

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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.