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Finding the Third Proportional to 691,596 and 1,417,452

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Solution

The third proportional to 691,596 and 1,417,452 is: 2,905,121.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,596 : 1,417,452 = 1,417,452 : x
  2. Step 2: Convert to fraction form
    691,596/1,417,452 = 1,417,452/x
  3. Step 3: Cross multiply
    691,596x = 1,417,452 × 1,417,452
  4. Step 4: Simplify right side
    691,596x = 2,009,170,172,304
  5. Step 5: Solve for x
    x = 2,009,170,172,304/691,596
  6. Step 6: Final answer
    x = 2,905,121.16

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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.