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Finding the Third Proportional to 704,538 and 1,134,378

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Solution

The third proportional to 704,538 and 1,134,378 is: 1,826,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,538 : 1,134,378 = 1,134,378 : x
  2. Step 2: Convert to fraction form
    704,538/1,134,378 = 1,134,378/x
  3. Step 3: Cross multiply
    704,538x = 1,134,378 × 1,134,378
  4. Step 4: Simplify right side
    704,538x = 1,286,813,446,884
  5. Step 5: Solve for x
    x = 1,286,813,446,884/704,538
  6. Step 6: Final answer
    x = 1,826,464.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.