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Finding the Third Proportional to 674,434.69 and 1,009,599.19

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Solution

The third proportional to 674,434.69 and 1,009,599.19 is: 1,511,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,434.69 : 1,009,599.19 = 1,009,599.19 : x
  2. Step 2: Convert to fraction form
    674,434.69/1,009,599.19 = 1,009,599.19/x
  3. Step 3: Cross multiply
    674,434.69x = 1,009,599.19 × 1,009,599.19
  4. Step 4: Simplify right side
    674,434.69x = 1,019,290,519,400.66
  5. Step 5: Solve for x
    x = 1,019,290,519,400.66/674,434.69
  6. Step 6: Final answer
    x = 1,511,325.76

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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.