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Finding the Third Proportional to 816,334 and 1,225,323

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Solution

The third proportional to 816,334 and 1,225,323 is: 1,839,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,334 : 1,225,323 = 1,225,323 : x
  2. Step 2: Convert to fraction form
    816,334/1,225,323 = 1,225,323/x
  3. Step 3: Cross multiply
    816,334x = 1,225,323 × 1,225,323
  4. Step 4: Simplify right side
    816,334x = 1,501,416,454,329
  5. Step 5: Solve for x
    x = 1,501,416,454,329/816,334
  6. Step 6: Final answer
    x = 1,839,218.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.