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Finding the Third Proportional to 625,920 and 936,480

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Solution

The third proportional to 625,920 and 936,480 is: 1,401,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,920 : 936,480 = 936,480 : x
  2. Step 2: Convert to fraction form
    625,920/936,480 = 936,480/x
  3. Step 3: Cross multiply
    625,920x = 936,480 × 936,480
  4. Step 4: Simplify right side
    625,920x = 876,994,790,400
  5. Step 5: Solve for x
    x = 876,994,790,400/625,920
  6. Step 6: Final answer
    x = 1,401,129.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.