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Finding the Third Proportional to 1,366,265.78 and 2,921,701.72

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Solution

The third proportional to 1,366,265.78 and 2,921,701.72 is: 6,247,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,265.78 : 2,921,701.72 = 2,921,701.72 : x
  2. Step 2: Convert to fraction form
    1,366,265.78/2,921,701.72 = 2,921,701.72/x
  3. Step 3: Cross multiply
    1,366,265.78x = 2,921,701.72 × 2,921,701.72
  4. Step 4: Simplify right side
    1,366,265.78x = 8,536,340,939,052.20
  5. Step 5: Solve for x
    x = 8,536,340,939,052.20/1,366,265.78
  6. Step 6: Final answer
    x = 6,247,935.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.