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Finding the Third Proportional to 717,196 and 1,560,577

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Solution

The third proportional to 717,196 and 1,560,577 is: 3,395,725.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,196 : 1,560,577 = 1,560,577 : x
  2. Step 2: Convert to fraction form
    717,196/1,560,577 = 1,560,577/x
  3. Step 3: Cross multiply
    717,196x = 1,560,577 × 1,560,577
  4. Step 4: Simplify right side
    717,196x = 2,435,400,572,929
  5. Step 5: Solve for x
    x = 2,435,400,572,929/717,196
  6. Step 6: Final answer
    x = 3,395,725.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.