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Finding the Third Proportional to 721,604 and 1,566,174

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Solution

The third proportional to 721,604 and 1,566,174 is: 3,399,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,604 : 1,566,174 = 1,566,174 : x
  2. Step 2: Convert to fraction form
    721,604/1,566,174 = 1,566,174/x
  3. Step 3: Cross multiply
    721,604x = 1,566,174 × 1,566,174
  4. Step 4: Simplify right side
    721,604x = 2,452,900,998,276
  5. Step 5: Solve for x
    x = 2,452,900,998,276/721,604
  6. Step 6: Final answer
    x = 3,399,234.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.