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Finding the Third Proportional to 486,726 and 1,040,712

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Solution

The third proportional to 486,726 and 1,040,712 is: 2,225,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,726 : 1,040,712 = 1,040,712 : x
  2. Step 2: Convert to fraction form
    486,726/1,040,712 = 1,040,712/x
  3. Step 3: Cross multiply
    486,726x = 1,040,712 × 1,040,712
  4. Step 4: Simplify right side
    486,726x = 1,083,081,466,944
  5. Step 5: Solve for x
    x = 1,083,081,466,944/486,726
  6. Step 6: Final answer
    x = 2,225,238.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.