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Finding the Third Proportional to 437,778 and 943,920

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Solution

The third proportional to 437,778 and 943,920 is: 2,035,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,778 : 943,920 = 943,920 : x
  2. Step 2: Convert to fraction form
    437,778/943,920 = 943,920/x
  3. Step 3: Cross multiply
    437,778x = 943,920 × 943,920
  4. Step 4: Simplify right side
    437,778x = 890,984,966,400
  5. Step 5: Solve for x
    x = 890,984,966,400/437,778
  6. Step 6: Final answer
    x = 2,035,243.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.