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Finding the Third Proportional to 721,593 and 1,566,153

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Solution

The third proportional to 721,593 and 1,566,153 is: 3,399,194.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,593 : 1,566,153 = 1,566,153 : x
  2. Step 2: Convert to fraction form
    721,593/1,566,153 = 1,566,153/x
  3. Step 3: Cross multiply
    721,593x = 1,566,153 × 1,566,153
  4. Step 4: Simplify right side
    721,593x = 2,452,835,219,409
  5. Step 5: Solve for x
    x = 2,452,835,219,409/721,593
  6. Step 6: Final answer
    x = 3,399,194.86

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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.