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Finding the Third Proportional to 940,785 and 1,413,297

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Solution

The third proportional to 940,785 and 1,413,297 is: 2,123,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,785 : 1,413,297 = 1,413,297 : x
  2. Step 2: Convert to fraction form
    940,785/1,413,297 = 1,413,297/x
  3. Step 3: Cross multiply
    940,785x = 1,413,297 × 1,413,297
  4. Step 4: Simplify right side
    940,785x = 1,997,408,410,209
  5. Step 5: Solve for x
    x = 1,997,408,410,209/940,785
  6. Step 6: Final answer
    x = 2,123,129.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.