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Finding the Third Proportional to 827,587.13 and 1,265,437.69

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Solution

The third proportional to 827,587.13 and 1,265,437.69 is: 1,934,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,587.13 : 1,265,437.69 = 1,265,437.69 : x
  2. Step 2: Convert to fraction form
    827,587.13/1,265,437.69 = 1,265,437.69/x
  3. Step 3: Cross multiply
    827,587.13x = 1,265,437.69 × 1,265,437.69
  4. Step 4: Simplify right side
    827,587.13x = 1,601,332,540,945.35
  5. Step 5: Solve for x
    x = 1,601,332,540,945.35/827,587.13
  6. Step 6: Final answer
    x = 1,934,941.34

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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.