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Finding the Third Proportional to 717,206 and 1,560,572

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Solution

The third proportional to 717,206 and 1,560,572 is: 3,395,656.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,206 : 1,560,572 = 1,560,572 : x
  2. Step 2: Convert to fraction form
    717,206/1,560,572 = 1,560,572/x
  3. Step 3: Cross multiply
    717,206x = 1,560,572 × 1,560,572
  4. Step 4: Simplify right side
    717,206x = 2,435,384,967,184
  5. Step 5: Solve for x
    x = 2,435,384,967,184/717,206
  6. Step 6: Final answer
    x = 3,395,656.15

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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.