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Finding the Third Proportional to 605,508 and 1,427,352

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Solution

The third proportional to 605,508 and 1,427,352 is: 3,364,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,508 : 1,427,352 = 1,427,352 : x
  2. Step 2: Convert to fraction form
    605,508/1,427,352 = 1,427,352/x
  3. Step 3: Cross multiply
    605,508x = 1,427,352 × 1,427,352
  4. Step 4: Simplify right side
    605,508x = 2,037,333,731,904
  5. Step 5: Solve for x
    x = 2,037,333,731,904/605,508
  6. Step 6: Final answer
    x = 3,364,668.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.