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Finding the Third Proportional to 973,192.50 and 2,135,835

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Solution

The third proportional to 973,192.50 and 2,135,835 is: 4,687,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,192.50 : 2,135,835 = 2,135,835 : x
  2. Step 2: Convert to fraction form
    973,192.50/2,135,835 = 2,135,835/x
  3. Step 3: Cross multiply
    973,192.50x = 2,135,835 × 2,135,835
  4. Step 4: Simplify right side
    973,192.50x = 4,561,791,147,225
  5. Step 5: Solve for x
    x = 4,561,791,147,225/973,192.50
  6. Step 6: Final answer
    x = 4,687,449.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.