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Finding the Third Proportional to 465,444 and 1,013,832

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Solution

The third proportional to 465,444 and 1,013,832 is: 2,208,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,444 : 1,013,832 = 1,013,832 : x
  2. Step 2: Convert to fraction form
    465,444/1,013,832 = 1,013,832/x
  3. Step 3: Cross multiply
    465,444x = 1,013,832 × 1,013,832
  4. Step 4: Simplify right side
    465,444x = 1,027,855,324,224
  5. Step 5: Solve for x
    x = 1,027,855,324,224/465,444
  6. Step 6: Final answer
    x = 2,208,332.96

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Why These Related Problems?

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