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Finding the Third Proportional to 2,837,320 and 6,225,872

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Solution

The third proportional to 2,837,320 and 6,225,872 is: 13,661,300.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837,320 : 6,225,872 = 6,225,872 : x
  2. Step 2: Convert to fraction form
    2,837,320/6,225,872 = 6,225,872/x
  3. Step 3: Cross multiply
    2,837,320x = 6,225,872 × 6,225,872
  4. Step 4: Simplify right side
    2,837,320x = 38,761,482,160,384
  5. Step 5: Solve for x
    x = 38,761,482,160,384/2,837,320
  6. Step 6: Final answer
    x = 13,661,300.86

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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.