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Finding the Third Proportional to 435,685 and 943,743

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Solution

The third proportional to 435,685 and 943,743 is: 2,044,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,685 : 943,743 = 943,743 : x
  2. Step 2: Convert to fraction form
    435,685/943,743 = 943,743/x
  3. Step 3: Cross multiply
    435,685x = 943,743 × 943,743
  4. Step 4: Simplify right side
    435,685x = 890,650,850,049
  5. Step 5: Solve for x
    x = 890,650,850,049/435,685
  6. Step 6: Final answer
    x = 2,044,254.11

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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.