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Finding the Third Proportional to 819,632 and 1,265,800

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Solution

The third proportional to 819,632 and 1,265,800 is: 1,954,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,632 : 1,265,800 = 1,265,800 : x
  2. Step 2: Convert to fraction form
    819,632/1,265,800 = 1,265,800/x
  3. Step 3: Cross multiply
    819,632x = 1,265,800 × 1,265,800
  4. Step 4: Simplify right side
    819,632x = 1,602,249,640,000
  5. Step 5: Solve for x
    x = 1,602,249,640,000/819,632
  6. Step 6: Final answer
    x = 1,954,840.27

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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.