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Finding the Third Proportional to 438,036 and 941,508

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Solution

The third proportional to 438,036 and 941,508 is: 2,023,663.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,036 : 941,508 = 941,508 : x
  2. Step 2: Convert to fraction form
    438,036/941,508 = 941,508/x
  3. Step 3: Cross multiply
    438,036x = 941,508 × 941,508
  4. Step 4: Simplify right side
    438,036x = 886,437,314,064
  5. Step 5: Solve for x
    x = 886,437,314,064/438,036
  6. Step 6: Final answer
    x = 2,023,663.16

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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.