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Finding the Third Proportional to 698,448 and 1,524,836

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Solution

The third proportional to 698,448 and 1,524,836 is: 3,328,987.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,448 : 1,524,836 = 1,524,836 : x
  2. Step 2: Convert to fraction form
    698,448/1,524,836 = 1,524,836/x
  3. Step 3: Cross multiply
    698,448x = 1,524,836 × 1,524,836
  4. Step 4: Simplify right side
    698,448x = 2,325,124,826,896
  5. Step 5: Solve for x
    x = 2,325,124,826,896/698,448
  6. Step 6: Final answer
    x = 3,328,987.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.