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Finding the Third Proportional to 2,654,960 and 5,826,020

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Solution

The third proportional to 2,654,960 and 5,826,020 is: 12,784,565.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654,960 : 5,826,020 = 5,826,020 : x
  2. Step 2: Convert to fraction form
    2,654,960/5,826,020 = 5,826,020/x
  3. Step 3: Cross multiply
    2,654,960x = 5,826,020 × 5,826,020
  4. Step 4: Simplify right side
    2,654,960x = 33,942,509,040,400
  5. Step 5: Solve for x
    x = 33,942,509,040,400/2,654,960
  6. Step 6: Final answer
    x = 12,784,565.13

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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.