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Finding the Third Proportional to 435,687 and 943,747

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Solution

The third proportional to 435,687 and 943,747 is: 2,044,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,687 : 943,747 = 943,747 : x
  2. Step 2: Convert to fraction form
    435,687/943,747 = 943,747/x
  3. Step 3: Cross multiply
    435,687x = 943,747 × 943,747
  4. Step 4: Simplify right side
    435,687x = 890,658,400,009
  5. Step 5: Solve for x
    x = 890,658,400,009/435,687
  6. Step 6: Final answer
    x = 2,044,262.05

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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.