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Finding the Third Proportional to 717,200 and 1,560,560

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Solution

The third proportional to 717,200 and 1,560,560 is: 3,395,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,200 : 1,560,560 = 1,560,560 : x
  2. Step 2: Convert to fraction form
    717,200/1,560,560 = 1,560,560/x
  3. Step 3: Cross multiply
    717,200x = 1,560,560 × 1,560,560
  4. Step 4: Simplify right side
    717,200x = 2,435,347,513,600
  5. Step 5: Solve for x
    x = 2,435,347,513,600/717,200
  6. Step 6: Final answer
    x = 3,395,632.34

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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.