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Finding the Third Proportional to 1,280,382 and 2,801,820

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Solution

The third proportional to 1,280,382 and 2,801,820 is: 6,131,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,382 : 2,801,820 = 2,801,820 : x
  2. Step 2: Convert to fraction form
    1,280,382/2,801,820 = 2,801,820/x
  3. Step 3: Cross multiply
    1,280,382x = 2,801,820 × 2,801,820
  4. Step 4: Simplify right side
    1,280,382x = 7,850,195,312,400
  5. Step 5: Solve for x
    x = 7,850,195,312,400/1,280,382
  6. Step 6: Final answer
    x = 6,131,135.33

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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.