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Finding the Third Proportional to 658,701 and 1,417,266

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Solution

The third proportional to 658,701 and 1,417,266 is: 3,049,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,701 : 1,417,266 = 1,417,266 : x
  2. Step 2: Convert to fraction form
    658,701/1,417,266 = 1,417,266/x
  3. Step 3: Cross multiply
    658,701x = 1,417,266 × 1,417,266
  4. Step 4: Simplify right side
    658,701x = 2,008,642,914,756
  5. Step 5: Solve for x
    x = 2,008,642,914,756/658,701
  6. Step 6: Final answer
    x = 3,049,400.13

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Why These Related Problems?

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