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Finding the Third Proportional to 1,442,668.22 and 2,251,345.64

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Solution

The third proportional to 1,442,668.22 and 2,251,345.64 is: 3,513,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,668.22 : 2,251,345.64 = 2,251,345.64 : x
  2. Step 2: Convert to fraction form
    1,442,668.22/2,251,345.64 = 2,251,345.64/x
  3. Step 3: Cross multiply
    1,442,668.22x = 2,251,345.64 × 2,251,345.64
  4. Step 4: Simplify right side
    1,442,668.22x = 5,068,557,193,561.19
  5. Step 5: Solve for x
    x = 5,068,557,193,561.19/1,442,668.22
  6. Step 6: Final answer
    x = 3,513,321.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.