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Finding the Third Proportional to 438,452 and 943,448

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Solution

The third proportional to 438,452 and 943,448 is: 2,030,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,452 : 943,448 = 943,448 : x
  2. Step 2: Convert to fraction form
    438,452/943,448 = 943,448/x
  3. Step 3: Cross multiply
    438,452x = 943,448 × 943,448
  4. Step 4: Simplify right side
    438,452x = 890,094,128,704
  5. Step 5: Solve for x
    x = 890,094,128,704/438,452
  6. Step 6: Final answer
    x = 2,030,083.40

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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.