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Finding the Third Proportional to 865,873.13 and 1,358,290.69

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Solution

The third proportional to 865,873.13 and 1,358,290.69 is: 2,130,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,873.13 : 1,358,290.69 = 1,358,290.69 : x
  2. Step 2: Convert to fraction form
    865,873.13/1,358,290.69 = 1,358,290.69/x
  3. Step 3: Cross multiply
    865,873.13x = 1,358,290.69 × 1,358,290.69
  4. Step 4: Simplify right side
    865,873.13x = 1,844,953,591,749.22
  5. Step 5: Solve for x
    x = 1,844,953,591,749.22/865,873.13
  6. Step 6: Final answer
    x = 2,130,743.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.