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Finding the Third Proportional to 759,099 and 1,143,648

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Solution

The third proportional to 759,099 and 1,143,648 is: 1,723,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,099 : 1,143,648 = 1,143,648 : x
  2. Step 2: Convert to fraction form
    759,099/1,143,648 = 1,143,648/x
  3. Step 3: Cross multiply
    759,099x = 1,143,648 × 1,143,648
  4. Step 4: Simplify right side
    759,099x = 1,307,930,747,904
  5. Step 5: Solve for x
    x = 1,307,930,747,904/759,099
  6. Step 6: Final answer
    x = 1,723,004.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.