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Finding the Third Proportional to 591,742.13 and 1,294,202.81

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Solution

The third proportional to 591,742.13 and 1,294,202.81 is: 2,830,558.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,742.13 : 1,294,202.81 = 1,294,202.81 : x
  2. Step 2: Convert to fraction form
    591,742.13/1,294,202.81 = 1,294,202.81/x
  3. Step 3: Cross multiply
    591,742.13x = 1,294,202.81 × 1,294,202.81
  4. Step 4: Simplify right side
    591,742.13x = 1,674,960,919,882.91
  5. Step 5: Solve for x
    x = 1,674,960,919,882.91/591,742.13
  6. Step 6: Final answer
    x = 2,830,558.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.