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Finding the Third Proportional to 532,899 and 1,038,825

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Solution

The third proportional to 532,899 and 1,038,825 is: 2,025,069.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,899 : 1,038,825 = 1,038,825 : x
  2. Step 2: Convert to fraction form
    532,899/1,038,825 = 1,038,825/x
  3. Step 3: Cross multiply
    532,899x = 1,038,825 × 1,038,825
  4. Step 4: Simplify right side
    532,899x = 1,079,157,380,625
  5. Step 5: Solve for x
    x = 1,079,157,380,625/532,899
  6. Step 6: Final answer
    x = 2,025,069.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.