Home / 1,023,345.14-1,566,165.38

Finding the Third Proportional to 1,023,345.14 and 1,566,165.38

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Solution

The third proportional to 1,023,345.14 and 1,566,165.38 is: 2,396,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,345.14 : 1,566,165.38 = 1,566,165.38 : x
  2. Step 2: Convert to fraction form
    1,023,345.14/1,566,165.38 = 1,566,165.38/x
  3. Step 3: Cross multiply
    1,023,345.14x = 1,566,165.38 × 1,566,165.38
  4. Step 4: Simplify right side
    1,023,345.14x = 2,452,873,981,848.89
  5. Step 5: Solve for x
    x = 2,452,873,981,848.89/1,023,345.14
  6. Step 6: Final answer
    x = 2,396,917.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.