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Finding the Third Proportional to 719,277 and 1,578,522

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Solution

The third proportional to 719,277 and 1,578,522 is: 3,464,217.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,277 : 1,578,522 = 1,578,522 : x
  2. Step 2: Convert to fraction form
    719,277/1,578,522 = 1,578,522/x
  3. Step 3: Cross multiply
    719,277x = 1,578,522 × 1,578,522
  4. Step 4: Simplify right side
    719,277x = 2,491,731,704,484
  5. Step 5: Solve for x
    x = 2,491,731,704,484/719,277
  6. Step 6: Final answer
    x = 3,464,217.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.