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Finding the Third Proportional to 2,521,381.50 and 3,773,162.25

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Solution

The third proportional to 2,521,381.50 and 3,773,162.25 is: 5,646,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521,381.50 : 3,773,162.25 = 3,773,162.25 : x
  2. Step 2: Convert to fraction form
    2,521,381.50/3,773,162.25 = 3,773,162.25/x
  3. Step 3: Cross multiply
    2,521,381.50x = 3,773,162.25 × 3,773,162.25
  4. Step 4: Simplify right side
    2,521,381.50x = 14,236,753,364,825.06
  5. Step 5: Solve for x
    x = 14,236,753,364,825.06/2,521,381.50
  6. Step 6: Final answer
    x = 5,646,409.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.