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Finding the Third Proportional to 435,681 and 943,731

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Solution

The third proportional to 435,681 and 943,731 is: 2,044,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,681 : 943,731 = 943,731 : x
  2. Step 2: Convert to fraction form
    435,681/943,731 = 943,731/x
  3. Step 3: Cross multiply
    435,681x = 943,731 × 943,731
  4. Step 4: Simplify right side
    435,681x = 890,628,200,361
  5. Step 5: Solve for x
    x = 890,628,200,361/435,681
  6. Step 6: Final answer
    x = 2,044,220.89

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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.