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Finding the Third Proportional to 1,567,381 and 2,207,213

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Solution

The third proportional to 1,567,381 and 2,207,213 is: 3,108,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567,381 : 2,207,213 = 2,207,213 : x
  2. Step 2: Convert to fraction form
    1,567,381/2,207,213 = 2,207,213/x
  3. Step 3: Cross multiply
    1,567,381x = 2,207,213 × 2,207,213
  4. Step 4: Simplify right side
    1,567,381x = 4,871,789,227,369
  5. Step 5: Solve for x
    x = 4,871,789,227,369/1,567,381
  6. Step 6: Final answer
    x = 3,108,235.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.