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Finding the Third Proportional to 452,121.38 and 966,424.88

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Solution

The third proportional to 452,121.38 and 966,424.88 is: 2,065,766.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,121.38 : 966,424.88 = 966,424.88 : x
  2. Step 2: Convert to fraction form
    452,121.38/966,424.88 = 966,424.88/x
  3. Step 3: Cross multiply
    452,121.38x = 966,424.88 × 966,424.88
  4. Step 4: Simplify right side
    452,121.38x = 933,977,039,018.77
  5. Step 5: Solve for x
    x = 933,977,039,018.77/452,121.38
  6. Step 6: Final answer
    x = 2,065,766.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.