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Finding the Third Proportional to 2,031,977.81 and 2,786,397.47

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Solution

The third proportional to 2,031,977.81 and 2,786,397.47 is: 3,820,913.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031,977.81 : 2,786,397.47 = 2,786,397.47 : x
  2. Step 2: Convert to fraction form
    2,031,977.81/2,786,397.47 = 2,786,397.47/x
  3. Step 3: Cross multiply
    2,031,977.81x = 2,786,397.47 × 2,786,397.47
  4. Step 4: Simplify right side
    2,031,977.81x = 7,764,010,853,856.41
  5. Step 5: Solve for x
    x = 7,764,010,853,856.41/2,031,977.81
  6. Step 6: Final answer
    x = 3,820,913.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.