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Finding the Third Proportional to 854,970.70 and 1,583,799.13

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Solution

The third proportional to 854,970.70 and 1,583,799.13 is: 2,933,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,970.70 : 1,583,799.13 = 1,583,799.13 : x
  2. Step 2: Convert to fraction form
    854,970.70/1,583,799.13 = 1,583,799.13/x
  3. Step 3: Cross multiply
    854,970.70x = 1,583,799.13 × 1,583,799.13
  4. Step 4: Simplify right side
    854,970.70x = 2,508,419,685,363.94
  5. Step 5: Solve for x
    x = 2,508,419,685,363.94/854,970.70
  6. Step 6: Final answer
    x = 2,933,924.73

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.