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Finding the Third Proportional to 2,868,768 and 6,242,274

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Solution

The third proportional to 2,868,768 and 6,242,274 is: 13,582,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868,768 : 6,242,274 = 6,242,274 : x
  2. Step 2: Convert to fraction form
    2,868,768/6,242,274 = 6,242,274/x
  3. Step 3: Cross multiply
    2,868,768x = 6,242,274 × 6,242,274
  4. Step 4: Simplify right side
    2,868,768x = 38,965,984,691,076
  5. Step 5: Solve for x
    x = 38,965,984,691,076/2,868,768
  6. Step 6: Final answer
    x = 13,582,828.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.