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Finding the Third Proportional to 1,204,476.75 and 1,773,438.75

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Solution

The third proportional to 1,204,476.75 and 1,773,438.75 is: 2,611,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,476.75 : 1,773,438.75 = 1,773,438.75 : x
  2. Step 2: Convert to fraction form
    1,204,476.75/1,773,438.75 = 1,773,438.75/x
  3. Step 3: Cross multiply
    1,204,476.75x = 1,773,438.75 × 1,773,438.75
  4. Step 4: Simplify right side
    1,204,476.75x = 3,145,085,000,001.56
  5. Step 5: Solve for x
    x = 3,145,085,000,001.56/1,204,476.75
  6. Step 6: Final answer
    x = 2,611,162.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.