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Finding the Third Proportional to 2,878,827 and 6,200,523

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Solution

The third proportional to 2,878,827 and 6,200,523 is: 13,354,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878,827 : 6,200,523 = 6,200,523 : x
  2. Step 2: Convert to fraction form
    2,878,827/6,200,523 = 6,200,523/x
  3. Step 3: Cross multiply
    2,878,827x = 6,200,523 × 6,200,523
  4. Step 4: Simplify right side
    2,878,827x = 38,446,485,473,529
  5. Step 5: Solve for x
    x = 38,446,485,473,529/2,878,827
  6. Step 6: Final answer
    x = 13,354,913.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.