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Finding the Third Proportional to 755,856 and 1,145,781

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Solution

The third proportional to 755,856 and 1,145,781 is: 1,736,857.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,856 : 1,145,781 = 1,145,781 : x
  2. Step 2: Convert to fraction form
    755,856/1,145,781 = 1,145,781/x
  3. Step 3: Cross multiply
    755,856x = 1,145,781 × 1,145,781
  4. Step 4: Simplify right side
    755,856x = 1,312,814,099,961
  5. Step 5: Solve for x
    x = 1,312,814,099,961/755,856
  6. Step 6: Final answer
    x = 1,736,857.42

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