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Finding the Third Proportional to 826,510 and 1,276,612

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Solution

The third proportional to 826,510 and 1,276,612 is: 1,971,831.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,510 : 1,276,612 = 1,276,612 : x
  2. Step 2: Convert to fraction form
    826,510/1,276,612 = 1,276,612/x
  3. Step 3: Cross multiply
    826,510x = 1,276,612 × 1,276,612
  4. Step 4: Simplify right side
    826,510x = 1,629,738,198,544
  5. Step 5: Solve for x
    x = 1,629,738,198,544/826,510
  6. Step 6: Final answer
    x = 1,971,831.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.