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Finding the Third Proportional to 840,358 and 1,132,227

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Solution

The third proportional to 840,358 and 1,132,227 is: 1,525,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,358 : 1,132,227 = 1,132,227 : x
  2. Step 2: Convert to fraction form
    840,358/1,132,227 = 1,132,227/x
  3. Step 3: Cross multiply
    840,358x = 1,132,227 × 1,132,227
  4. Step 4: Simplify right side
    840,358x = 1,281,937,979,529
  5. Step 5: Solve for x
    x = 1,281,937,979,529/840,358
  6. Step 6: Final answer
    x = 1,525,466.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.