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Finding the Third Proportional to 940,140 and 1,432,243

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Solution

The third proportional to 940,140 and 1,432,243 is: 2,181,930.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,140 : 1,432,243 = 1,432,243 : x
  2. Step 2: Convert to fraction form
    940,140/1,432,243 = 1,432,243/x
  3. Step 3: Cross multiply
    940,140x = 1,432,243 × 1,432,243
  4. Step 4: Simplify right side
    940,140x = 2,051,320,011,049
  5. Step 5: Solve for x
    x = 2,051,320,011,049/940,140
  6. Step 6: Final answer
    x = 2,181,930.36

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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.