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Finding the Third Proportional to 717,893 and 1,566,189

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Solution

The third proportional to 717,893 and 1,566,189 is: 3,416,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,893 : 1,566,189 = 1,566,189 : x
  2. Step 2: Convert to fraction form
    717,893/1,566,189 = 1,566,189/x
  3. Step 3: Cross multiply
    717,893x = 1,566,189 × 1,566,189
  4. Step 4: Simplify right side
    717,893x = 2,452,947,983,721
  5. Step 5: Solve for x
    x = 2,452,947,983,721/717,893
  6. Step 6: Final answer
    x = 3,416,871.29

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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.