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Finding the Third Proportional to 425,228 and 894,520

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Solution

The third proportional to 425,228 and 894,520 is: 1,881,734.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,228 : 894,520 = 894,520 : x
  2. Step 2: Convert to fraction form
    425,228/894,520 = 894,520/x
  3. Step 3: Cross multiply
    425,228x = 894,520 × 894,520
  4. Step 4: Simplify right side
    425,228x = 800,166,030,400
  5. Step 5: Solve for x
    x = 800,166,030,400/425,228
  6. Step 6: Final answer
    x = 1,881,734.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.