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Finding the Third Proportional to 940,174 and 1,432,306

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Solution

The third proportional to 940,174 and 1,432,306 is: 2,182,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,174 : 1,432,306 = 1,432,306 : x
  2. Step 2: Convert to fraction form
    940,174/1,432,306 = 1,432,306/x
  3. Step 3: Cross multiply
    940,174x = 1,432,306 × 1,432,306
  4. Step 4: Simplify right side
    940,174x = 2,051,500,477,636
  5. Step 5: Solve for x
    x = 2,051,500,477,636/940,174
  6. Step 6: Final answer
    x = 2,182,043.41

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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.