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Finding the Third Proportional to 438,062 and 941,566

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Solution

The third proportional to 438,062 and 941,566 is: 2,023,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,062 : 941,566 = 941,566 : x
  2. Step 2: Convert to fraction form
    438,062/941,566 = 941,566/x
  3. Step 3: Cross multiply
    438,062x = 941,566 × 941,566
  4. Step 4: Simplify right side
    438,062x = 886,546,532,356
  5. Step 5: Solve for x
    x = 886,546,532,356/438,062
  6. Step 6: Final answer
    x = 2,023,792.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.