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Finding the Third Proportional to 642,952 and 1,382,678

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Solution

The third proportional to 642,952 and 1,382,678 is: 2,973,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,952 : 1,382,678 = 1,382,678 : x
  2. Step 2: Convert to fraction form
    642,952/1,382,678 = 1,382,678/x
  3. Step 3: Cross multiply
    642,952x = 1,382,678 × 1,382,678
  4. Step 4: Simplify right side
    642,952x = 1,911,798,451,684
  5. Step 5: Solve for x
    x = 1,911,798,451,684/642,952
  6. Step 6: Final answer
    x = 2,973,469.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.