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Finding the Third Proportional to 864,680.06 and 1,381,341.09

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Solution

The third proportional to 864,680.06 and 1,381,341.09 is: 2,206,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,680.06 : 1,381,341.09 = 1,381,341.09 : x
  2. Step 2: Convert to fraction form
    864,680.06/1,381,341.09 = 1,381,341.09/x
  3. Step 3: Cross multiply
    864,680.06x = 1,381,341.09 × 1,381,341.09
  4. Step 4: Simplify right side
    864,680.06x = 1,908,103,217,282.45
  5. Step 5: Solve for x
    x = 1,908,103,217,282.45/864,680.06
  6. Step 6: Final answer
    x = 2,206,715.87

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.