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Finding the Third Proportional to 847,174.50 and 1,290,624.75

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Solution

The third proportional to 847,174.50 and 1,290,624.75 is: 1,966,197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,174.50 : 1,290,624.75 = 1,290,624.75 : x
  2. Step 2: Convert to fraction form
    847,174.50/1,290,624.75 = 1,290,624.75/x
  3. Step 3: Cross multiply
    847,174.50x = 1,290,624.75 × 1,290,624.75
  4. Step 4: Simplify right side
    847,174.50x = 1,665,712,245,312.56
  5. Step 5: Solve for x
    x = 1,665,712,245,312.56/847,174.50
  6. Step 6: Final answer
    x = 1,966,197.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.