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Finding the Third Proportional to 486,767 and 1,065,295

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Solution

The third proportional to 486,767 and 1,065,295 is: 2,331,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,767 : 1,065,295 = 1,065,295 : x
  2. Step 2: Convert to fraction form
    486,767/1,065,295 = 1,065,295/x
  3. Step 3: Cross multiply
    486,767x = 1,065,295 × 1,065,295
  4. Step 4: Simplify right side
    486,767x = 1,134,853,437,025
  5. Step 5: Solve for x
    x = 1,134,853,437,025/486,767
  6. Step 6: Final answer
    x = 2,331,409.97

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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.