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Finding the Third Proportional to 450,210 and 1,062,738

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Solution

The third proportional to 450,210 and 1,062,738 is: 2,508,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,210 : 1,062,738 = 1,062,738 : x
  2. Step 2: Convert to fraction form
    450,210/1,062,738 = 1,062,738/x
  3. Step 3: Cross multiply
    450,210x = 1,062,738 × 1,062,738
  4. Step 4: Simplify right side
    450,210x = 1,129,412,056,644
  5. Step 5: Solve for x
    x = 1,129,412,056,644/450,210
  6. Step 6: Final answer
    x = 2,508,633.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.