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Finding the Third Proportional to 1,256,203.69 and 1,531,765.69

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Solution

The third proportional to 1,256,203.69 and 1,531,765.69 is: 1,867,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256,203.69 : 1,531,765.69 = 1,531,765.69 : x
  2. Step 2: Convert to fraction form
    1,256,203.69/1,531,765.69 = 1,531,765.69/x
  3. Step 3: Cross multiply
    1,256,203.69x = 1,531,765.69 × 1,531,765.69
  4. Step 4: Simplify right side
    1,256,203.69x = 2,346,306,121,402.35
  5. Step 5: Solve for x
    x = 2,346,306,121,402.35/1,256,203.69
  6. Step 6: Final answer
    x = 1,867,775.22

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.