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Finding the Third Proportional to 471,349.13 and 1,017,420.75

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Solution

The third proportional to 471,349.13 and 1,017,420.75 is: 2,196,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,349.13 : 1,017,420.75 = 1,017,420.75 : x
  2. Step 2: Convert to fraction form
    471,349.13/1,017,420.75 = 1,017,420.75/x
  3. Step 3: Cross multiply
    471,349.13x = 1,017,420.75 × 1,017,420.75
  4. Step 4: Simplify right side
    471,349.13x = 1,035,144,982,530.56
  5. Step 5: Solve for x
    x = 1,035,144,982,530.56/471,349.13
  6. Step 6: Final answer
    x = 2,196,132.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.