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Finding the Third Proportional to 491,410.13 and 1,069,355.25

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Solution

The third proportional to 491,410.13 and 1,069,355.25 is: 2,327,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,410.13 : 1,069,355.25 = 1,069,355.25 : x
  2. Step 2: Convert to fraction form
    491,410.13/1,069,355.25 = 1,069,355.25/x
  3. Step 3: Cross multiply
    491,410.13x = 1,069,355.25 × 1,069,355.25
  4. Step 4: Simplify right side
    491,410.13x = 1,143,520,650,702.56
  5. Step 5: Solve for x
    x = 1,143,520,650,702.56/491,410.13
  6. Step 6: Final answer
    x = 2,327,018.90

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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.