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Finding the Third Proportional to 648,400 and 1,041,792

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Solution

The third proportional to 648,400 and 1,041,792 is: 1,673,859.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,400 : 1,041,792 = 1,041,792 : x
  2. Step 2: Convert to fraction form
    648,400/1,041,792 = 1,041,792/x
  3. Step 3: Cross multiply
    648,400x = 1,041,792 × 1,041,792
  4. Step 4: Simplify right side
    648,400x = 1,085,330,571,264
  5. Step 5: Solve for x
    x = 1,085,330,571,264/648,400
  6. Step 6: Final answer
    x = 1,673,859.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.