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Finding the Third Proportional to 1,121,538 and 2,460,210

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Solution

The third proportional to 1,121,538 and 2,460,210 is: 5,396,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,538 : 2,460,210 = 2,460,210 : x
  2. Step 2: Convert to fraction form
    1,121,538/2,460,210 = 2,460,210/x
  3. Step 3: Cross multiply
    1,121,538x = 2,460,210 × 2,460,210
  4. Step 4: Simplify right side
    1,121,538x = 6,052,633,244,100
  5. Step 5: Solve for x
    x = 6,052,633,244,100/1,121,538
  6. Step 6: Final answer
    x = 5,396,725.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.