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Finding the Third Proportional to 940,904 and 1,413,483

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Solution

The third proportional to 940,904 and 1,413,483 is: 2,123,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,904 : 1,413,483 = 1,413,483 : x
  2. Step 2: Convert to fraction form
    940,904/1,413,483 = 1,413,483/x
  3. Step 3: Cross multiply
    940,904x = 1,413,483 × 1,413,483
  4. Step 4: Simplify right side
    940,904x = 1,997,934,191,289
  5. Step 5: Solve for x
    x = 1,997,934,191,289/940,904
  6. Step 6: Final answer
    x = 2,123,419.81

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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.