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Finding the Third Proportional to 431,483 and 938,719

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Solution

The third proportional to 431,483 and 938,719 is: 2,042,243.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,483 : 938,719 = 938,719 : x
  2. Step 2: Convert to fraction form
    431,483/938,719 = 938,719/x
  3. Step 3: Cross multiply
    431,483x = 938,719 × 938,719
  4. Step 4: Simplify right side
    431,483x = 881,193,360,961
  5. Step 5: Solve for x
    x = 881,193,360,961/431,483
  6. Step 6: Final answer
    x = 2,042,243.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.