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Finding the Third Proportional to 1,253,585 and 2,706,670

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Solution

The third proportional to 1,253,585 and 2,706,670 is: 5,844,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,585 : 2,706,670 = 2,706,670 : x
  2. Step 2: Convert to fraction form
    1,253,585/2,706,670 = 2,706,670/x
  3. Step 3: Cross multiply
    1,253,585x = 2,706,670 × 2,706,670
  4. Step 4: Simplify right side
    1,253,585x = 7,326,062,488,900
  5. Step 5: Solve for x
    x = 7,326,062,488,900/1,253,585
  6. Step 6: Final answer
    x = 5,844,089.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.