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Finding the Third Proportional to 2,657,010 and 4,229,865

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Solution

The third proportional to 2,657,010 and 4,229,865 is: 6,733,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657,010 : 4,229,865 = 4,229,865 : x
  2. Step 2: Convert to fraction form
    2,657,010/4,229,865 = 4,229,865/x
  3. Step 3: Cross multiply
    2,657,010x = 4,229,865 × 4,229,865
  4. Step 4: Simplify right side
    2,657,010x = 17,891,757,918,225
  5. Step 5: Solve for x
    x = 17,891,757,918,225/2,657,010
  6. Step 6: Final answer
    x = 6,733,793.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.