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Finding the Third Proportional to 621,843 and 960,251

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Solution

The third proportional to 621,843 and 960,251 is: 1,482,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,843 : 960,251 = 960,251 : x
  2. Step 2: Convert to fraction form
    621,843/960,251 = 960,251/x
  3. Step 3: Cross multiply
    621,843x = 960,251 × 960,251
  4. Step 4: Simplify right side
    621,843x = 922,081,983,001
  5. Step 5: Solve for x
    x = 922,081,983,001/621,843
  6. Step 6: Final answer
    x = 1,482,821.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.