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Finding the Third Proportional to 734,272 and 1,143,289

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Solution

The third proportional to 734,272 and 1,143,289 is: 1,780,143.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,272 : 1,143,289 = 1,143,289 : x
  2. Step 2: Convert to fraction form
    734,272/1,143,289 = 1,143,289/x
  3. Step 3: Cross multiply
    734,272x = 1,143,289 × 1,143,289
  4. Step 4: Simplify right side
    734,272x = 1,307,109,737,521
  5. Step 5: Solve for x
    x = 1,307,109,737,521/734,272
  6. Step 6: Final answer
    x = 1,780,143.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.