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Finding the Third Proportional to 532,920 and 1,144,896

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Solution

The third proportional to 532,920 and 1,144,896 is: 2,459,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,920 : 1,144,896 = 1,144,896 : x
  2. Step 2: Convert to fraction form
    532,920/1,144,896 = 1,144,896/x
  3. Step 3: Cross multiply
    532,920x = 1,144,896 × 1,144,896
  4. Step 4: Simplify right side
    532,920x = 1,310,786,850,816
  5. Step 5: Solve for x
    x = 1,310,786,850,816/532,920
  6. Step 6: Final answer
    x = 2,459,631.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.