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Finding the Third Proportional to 591,431.63 and 1,282,500.84

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Solution

The third proportional to 591,431.63 and 1,282,500.84 is: 2,781,062.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,431.63 : 1,282,500.84 = 1,282,500.84 : x
  2. Step 2: Convert to fraction form
    591,431.63/1,282,500.84 = 1,282,500.84/x
  3. Step 3: Cross multiply
    591,431.63x = 1,282,500.84 × 1,282,500.84
  4. Step 4: Simplify right side
    591,431.63x = 1,644,808,414,219.46
  5. Step 5: Solve for x
    x = 1,644,808,414,219.46/591,431.63
  6. Step 6: Final answer
    x = 2,781,062.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.