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Finding the Third Proportional to 821,376 and 1,203,600

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Solution

The third proportional to 821,376 and 1,203,600 is: 1,763,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,376 : 1,203,600 = 1,203,600 : x
  2. Step 2: Convert to fraction form
    821,376/1,203,600 = 1,203,600/x
  3. Step 3: Cross multiply
    821,376x = 1,203,600 × 1,203,600
  4. Step 4: Simplify right side
    821,376x = 1,448,652,960,000
  5. Step 5: Solve for x
    x = 1,448,652,960,000/821,376
  6. Step 6: Final answer
    x = 1,763,690.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.