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Finding the Third Proportional to 1,985,904 and 4,251,744

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Solution

The third proportional to 1,985,904 and 4,251,744 is: 9,102,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985,904 : 4,251,744 = 4,251,744 : x
  2. Step 2: Convert to fraction form
    1,985,904/4,251,744 = 4,251,744/x
  3. Step 3: Cross multiply
    1,985,904x = 4,251,744 × 4,251,744
  4. Step 4: Simplify right side
    1,985,904x = 18,077,327,041,536
  5. Step 5: Solve for x
    x = 18,077,327,041,536/1,985,904
  6. Step 6: Final answer
    x = 9,102,820.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.