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Finding the Third Proportional to 1,023,912 and 2,234,160

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Solution

The third proportional to 1,023,912 and 2,234,160 is: 4,874,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,912 : 2,234,160 = 2,234,160 : x
  2. Step 2: Convert to fraction form
    1,023,912/2,234,160 = 2,234,160/x
  3. Step 3: Cross multiply
    1,023,912x = 2,234,160 × 2,234,160
  4. Step 4: Simplify right side
    1,023,912x = 4,991,470,905,600
  5. Step 5: Solve for x
    x = 4,991,470,905,600/1,023,912
  6. Step 6: Final answer
    x = 4,874,902.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.