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Finding the Third Proportional to 1,818,976.13 and 3,031,444.13

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Solution

The third proportional to 1,818,976.13 and 3,031,444.13 is: 5,052,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818,976.13 : 3,031,444.13 = 3,031,444.13 : x
  2. Step 2: Convert to fraction form
    1,818,976.13/3,031,444.13 = 3,031,444.13/x
  3. Step 3: Cross multiply
    1,818,976.13x = 3,031,444.13 × 3,031,444.13
  4. Step 4: Simplify right side
    1,818,976.13x = 9,189,653,482,997.02
  5. Step 5: Solve for x
    x = 9,189,653,482,997.02/1,818,976.13
  6. Step 6: Final answer
    x = 5,052,102.31

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.