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Finding the Third Proportional to 680,548 and 1,044,615

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Solution

The third proportional to 680,548 and 1,044,615 is: 1,603,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,548 : 1,044,615 = 1,044,615 : x
  2. Step 2: Convert to fraction form
    680,548/1,044,615 = 1,044,615/x
  3. Step 3: Cross multiply
    680,548x = 1,044,615 × 1,044,615
  4. Step 4: Simplify right side
    680,548x = 1,091,220,498,225
  5. Step 5: Solve for x
    x = 1,091,220,498,225/680,548
  6. Step 6: Final answer
    x = 1,603,443.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.