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Finding the Third Proportional to 591,050 and 1,260,724

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Solution

The third proportional to 591,050 and 1,260,724 is: 2,689,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,050 : 1,260,724 = 1,260,724 : x
  2. Step 2: Convert to fraction form
    591,050/1,260,724 = 1,260,724/x
  3. Step 3: Cross multiply
    591,050x = 1,260,724 × 1,260,724
  4. Step 4: Simplify right side
    591,050x = 1,589,425,004,176
  5. Step 5: Solve for x
    x = 1,589,425,004,176/591,050
  6. Step 6: Final answer
    x = 2,689,154.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.