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Finding the Third Proportional to 591,743 and 961,388

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Solution

The third proportional to 591,743 and 961,388 is: 1,561,939.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,743 : 961,388 = 961,388 : x
  2. Step 2: Convert to fraction form
    591,743/961,388 = 961,388/x
  3. Step 3: Cross multiply
    591,743x = 961,388 × 961,388
  4. Step 4: Simplify right side
    591,743x = 924,266,886,544
  5. Step 5: Solve for x
    x = 924,266,886,544/591,743
  6. Step 6: Final answer
    x = 1,561,939.70

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.