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Finding the Third Proportional to 2,864,820 and 6,217,872

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Solution

The third proportional to 2,864,820 and 6,217,872 is: 13,495,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864,820 : 6,217,872 = 6,217,872 : x
  2. Step 2: Convert to fraction form
    2,864,820/6,217,872 = 6,217,872/x
  3. Step 3: Cross multiply
    2,864,820x = 6,217,872 × 6,217,872
  4. Step 4: Simplify right side
    2,864,820x = 38,661,932,208,384
  5. Step 5: Solve for x
    x = 38,661,932,208,384/2,864,820
  6. Step 6: Final answer
    x = 13,495,414.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.