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Finding the Third Proportional to 542,828 and 1,146,896

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Solution

The third proportional to 542,828 and 1,146,896 is: 2,423,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,828 : 1,146,896 = 1,146,896 : x
  2. Step 2: Convert to fraction form
    542,828/1,146,896 = 1,146,896/x
  3. Step 3: Cross multiply
    542,828x = 1,146,896 × 1,146,896
  4. Step 4: Simplify right side
    542,828x = 1,315,370,434,816
  5. Step 5: Solve for x
    x = 1,315,370,434,816/542,828
  6. Step 6: Final answer
    x = 2,423,180.89

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.