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Finding the Third Proportional to 465,124 and 1,001,240

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Solution

The third proportional to 465,124 and 1,001,240 is: 2,155,299.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,124 : 1,001,240 = 1,001,240 : x
  2. Step 2: Convert to fraction form
    465,124/1,001,240 = 1,001,240/x
  3. Step 3: Cross multiply
    465,124x = 1,001,240 × 1,001,240
  4. Step 4: Simplify right side
    465,124x = 1,002,481,537,600
  5. Step 5: Solve for x
    x = 1,002,481,537,600/465,124
  6. Step 6: Final answer
    x = 2,155,299.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.