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Finding the Third Proportional to 797,638.01 and 1,750,256.86

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Solution

The third proportional to 797,638.01 and 1,750,256.86 is: 3,840,588.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,638.01 : 1,750,256.86 = 1,750,256.86 : x
  2. Step 2: Convert to fraction form
    797,638.01/1,750,256.86 = 1,750,256.86/x
  3. Step 3: Cross multiply
    797,638.01x = 1,750,256.86 × 1,750,256.86
  4. Step 4: Simplify right side
    797,638.01x = 3,063,399,073,789.24
  5. Step 5: Solve for x
    x = 3,063,399,073,789.24/797,638.01
  6. Step 6: Final answer
    x = 3,840,588.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.