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Finding the Third Proportional to 691,521 and 1,417,180

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Solution

The third proportional to 691,521 and 1,417,180 is: 2,904,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,521 : 1,417,180 = 1,417,180 : x
  2. Step 2: Convert to fraction form
    691,521/1,417,180 = 1,417,180/x
  3. Step 3: Cross multiply
    691,521x = 1,417,180 × 1,417,180
  4. Step 4: Simplify right side
    691,521x = 2,008,399,152,400
  5. Step 5: Solve for x
    x = 2,008,399,152,400/691,521
  6. Step 6: Final answer
    x = 2,904,321.27

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.