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Finding the Third Proportional to 534,492 and 1,113,221.25

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Solution

The third proportional to 534,492 and 1,113,221.25 is: 2,318,578.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,492 : 1,113,221.25 = 1,113,221.25 : x
  2. Step 2: Convert to fraction form
    534,492/1,113,221.25 = 1,113,221.25/x
  3. Step 3: Cross multiply
    534,492x = 1,113,221.25 × 1,113,221.25
  4. Step 4: Simplify right side
    534,492x = 1,239,261,551,451.56
  5. Step 5: Solve for x
    x = 1,239,261,551,451.56/534,492
  6. Step 6: Final answer
    x = 2,318,578.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.