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Finding the Third Proportional to 1,047,789.75 and 2,291,724

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Solution

The third proportional to 1,047,789.75 and 2,291,724 is: 5,012,454.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047,789.75 : 2,291,724 = 2,291,724 : x
  2. Step 2: Convert to fraction form
    1,047,789.75/2,291,724 = 2,291,724/x
  3. Step 3: Cross multiply
    1,047,789.75x = 2,291,724 × 2,291,724
  4. Step 4: Simplify right side
    1,047,789.75x = 5,251,998,892,176
  5. Step 5: Solve for x
    x = 5,251,998,892,176/1,047,789.75
  6. Step 6: Final answer
    x = 5,012,454.92

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Why These Related Problems?

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