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Finding the Third Proportional to 2,822,752 and 6,205,376

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Solution

The third proportional to 2,822,752 and 6,205,376 is: 13,641,542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822,752 : 6,205,376 = 6,205,376 : x
  2. Step 2: Convert to fraction form
    2,822,752/6,205,376 = 6,205,376/x
  3. Step 3: Cross multiply
    2,822,752x = 6,205,376 × 6,205,376
  4. Step 4: Simplify right side
    2,822,752x = 38,506,691,301,376
  5. Step 5: Solve for x
    x = 38,506,691,301,376/2,822,752
  6. Step 6: Final answer
    x = 13,641,542.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.