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Finding the Third Proportional to 658,746 and 1,340,820

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Solution

The third proportional to 658,746 and 1,340,820 is: 2,729,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,746 : 1,340,820 = 1,340,820 : x
  2. Step 2: Convert to fraction form
    658,746/1,340,820 = 1,340,820/x
  3. Step 3: Cross multiply
    658,746x = 1,340,820 × 1,340,820
  4. Step 4: Simplify right side
    658,746x = 1,797,798,272,400
  5. Step 5: Solve for x
    x = 1,797,798,272,400/658,746
  6. Step 6: Final answer
    x = 2,729,122.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.