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Finding the Third Proportional to 658,716 and 1,340,712

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Solution

The third proportional to 658,716 and 1,340,712 is: 2,728,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,716 : 1,340,712 = 1,340,712 : x
  2. Step 2: Convert to fraction form
    658,716/1,340,712 = 1,340,712/x
  3. Step 3: Cross multiply
    658,716x = 1,340,712 × 1,340,712
  4. Step 4: Simplify right side
    658,716x = 1,797,508,666,944
  5. Step 5: Solve for x
    x = 1,797,508,666,944/658,716
  6. Step 6: Final answer
    x = 2,728,806.75

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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.