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Finding the Third Proportional to 642,708 and 1,314,900

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Solution

The third proportional to 642,708 and 1,314,900 is: 2,690,120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,708 : 1,314,900 = 1,314,900 : x
  2. Step 2: Convert to fraction form
    642,708/1,314,900 = 1,314,900/x
  3. Step 3: Cross multiply
    642,708x = 1,314,900 × 1,314,900
  4. Step 4: Simplify right side
    642,708x = 1,728,962,010,000
  5. Step 5: Solve for x
    x = 1,728,962,010,000/642,708
  6. Step 6: Final answer
    x = 2,690,120.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.