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Finding the Third Proportional to 1,381,204.13 and 3,013,297.88

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Solution

The third proportional to 1,381,204.13 and 3,013,297.88 is: 6,573,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,204.13 : 3,013,297.88 = 3,013,297.88 : x
  2. Step 2: Convert to fraction form
    1,381,204.13/3,013,297.88 = 3,013,297.88/x
  3. Step 3: Cross multiply
    1,381,204.13x = 3,013,297.88 × 3,013,297.88
  4. Step 4: Simplify right side
    1,381,204.13x = 9,079,964,083,479.52
  5. Step 5: Solve for x
    x = 9,079,964,083,479.52/1,381,204.13
  6. Step 6: Final answer
    x = 6,573,947.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.