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Finding the Third Proportional to 435,742.66 and 943,841.43

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Solution

The third proportional to 435,742.66 and 943,841.43 is: 2,044,409.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,742.66 : 943,841.43 = 943,841.43 : x
  2. Step 2: Convert to fraction form
    435,742.66/943,841.43 = 943,841.43/x
  3. Step 3: Cross multiply
    435,742.66x = 943,841.43 × 943,841.43
  4. Step 4: Simplify right side
    435,742.66x = 890,836,637,020.78
  5. Step 5: Solve for x
    x = 890,836,637,020.78/435,742.66
  6. Step 6: Final answer
    x = 2,044,409.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.