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Finding the Third Proportional to 587,318.81 and 1,282,499.06

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Solution

The third proportional to 587,318.81 and 1,282,499.06 is: 2,800,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,318.81 : 1,282,499.06 = 1,282,499.06 : x
  2. Step 2: Convert to fraction form
    587,318.81/1,282,499.06 = 1,282,499.06/x
  3. Step 3: Cross multiply
    587,318.81x = 1,282,499.06 × 1,282,499.06
  4. Step 4: Simplify right side
    587,318.81x = 1,644,803,845,313.38
  5. Step 5: Solve for x
    x = 1,644,803,845,313.38/587,318.81
  6. Step 6: Final answer
    x = 2,800,529.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.