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Finding the Third Proportional to 2,844,414 and 6,023,358

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Solution

The third proportional to 2,844,414 and 6,023,358 is: 12,755,119.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,844,414 : 6,023,358 = 6,023,358 : x
  2. Step 2: Convert to fraction form
    2,844,414/6,023,358 = 6,023,358/x
  3. Step 3: Cross multiply
    2,844,414x = 6,023,358 × 6,023,358
  4. Step 4: Simplify right side
    2,844,414x = 36,280,841,596,164
  5. Step 5: Solve for x
    x = 36,280,841,596,164/2,844,414
  6. Step 6: Final answer
    x = 12,755,119.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.