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Finding the Third Proportional to 2,723,971 and 3,817,567

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Solution

The third proportional to 2,723,971 and 3,817,567 is: 5,350,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,723,971 : 3,817,567 = 3,817,567 : x
  2. Step 2: Convert to fraction form
    2,723,971/3,817,567 = 3,817,567/x
  3. Step 3: Cross multiply
    2,723,971x = 3,817,567 × 3,817,567
  4. Step 4: Simplify right side
    2,723,971x = 14,573,817,799,489
  5. Step 5: Solve for x
    x = 14,573,817,799,489/2,723,971
  6. Step 6: Final answer
    x = 5,350,210.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.