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Finding the Third Proportional to 605,558 and 896,612

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Solution

The third proportional to 605,558 and 896,612 is: 1,327,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,558 : 896,612 = 896,612 : x
  2. Step 2: Convert to fraction form
    605,558/896,612 = 896,612/x
  3. Step 3: Cross multiply
    605,558x = 896,612 × 896,612
  4. Step 4: Simplify right side
    605,558x = 803,913,078,544
  5. Step 5: Solve for x
    x = 803,913,078,544/605,558
  6. Step 6: Final answer
    x = 1,327,557.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.