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Finding the Third Proportional to 614,168 and 1,321,624

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Solution

The third proportional to 614,168 and 1,321,624 is: 2,843,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,168 : 1,321,624 = 1,321,624 : x
  2. Step 2: Convert to fraction form
    614,168/1,321,624 = 1,321,624/x
  3. Step 3: Cross multiply
    614,168x = 1,321,624 × 1,321,624
  4. Step 4: Simplify right side
    614,168x = 1,746,689,997,376
  5. Step 5: Solve for x
    x = 1,746,689,997,376/614,168
  6. Step 6: Final answer
    x = 2,843,993.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.