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Finding the Third Proportional to 1,071,441 and 2,231,640

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Solution

The third proportional to 1,071,441 and 2,231,640 is: 4,648,148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,441 : 2,231,640 = 2,231,640 : x
  2. Step 2: Convert to fraction form
    1,071,441/2,231,640 = 2,231,640/x
  3. Step 3: Cross multiply
    1,071,441x = 2,231,640 × 2,231,640
  4. Step 4: Simplify right side
    1,071,441x = 4,980,217,089,600
  5. Step 5: Solve for x
    x = 4,980,217,089,600/1,071,441
  6. Step 6: Final answer
    x = 4,648,148.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.