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Finding the Third Proportional to 674,699.63 and 1,013,993.44

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Solution

The third proportional to 674,699.63 and 1,013,993.44 is: 1,523,911.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,699.63 : 1,013,993.44 = 1,013,993.44 : x
  2. Step 2: Convert to fraction form
    674,699.63/1,013,993.44 = 1,013,993.44/x
  3. Step 3: Cross multiply
    674,699.63x = 1,013,993.44 × 1,013,993.44
  4. Step 4: Simplify right side
    674,699.63x = 1,028,182,691,293.07
  5. Step 5: Solve for x
    x = 1,028,182,691,293.07/674,699.63
  6. Step 6: Final answer
    x = 1,523,911.76

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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.