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Finding the Third Proportional to 721,659 and 1,566,252

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Solution

The third proportional to 721,659 and 1,566,252 is: 3,399,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,659 : 1,566,252 = 1,566,252 : x
  2. Step 2: Convert to fraction form
    721,659/1,566,252 = 1,566,252/x
  3. Step 3: Cross multiply
    721,659x = 1,566,252 × 1,566,252
  4. Step 4: Simplify right side
    721,659x = 2,453,145,327,504
  5. Step 5: Solve for x
    x = 2,453,145,327,504/721,659
  6. Step 6: Final answer
    x = 3,399,313.70

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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.