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Finding the Third Proportional to 387,734 and 836,572

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Solution

The third proportional to 387,734 and 836,572 is: 1,804,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,734 : 836,572 = 836,572 : x
  2. Step 2: Convert to fraction form
    387,734/836,572 = 836,572/x
  3. Step 3: Cross multiply
    387,734x = 836,572 × 836,572
  4. Step 4: Simplify right side
    387,734x = 699,852,711,184
  5. Step 5: Solve for x
    x = 699,852,711,184/387,734
  6. Step 6: Final answer
    x = 1,804,981.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.