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Finding the Third Proportional to 784,522 and 1,212,286

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Solution

The third proportional to 784,522 and 1,212,286 is: 1,873,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,522 : 1,212,286 = 1,212,286 : x
  2. Step 2: Convert to fraction form
    784,522/1,212,286 = 1,212,286/x
  3. Step 3: Cross multiply
    784,522x = 1,212,286 × 1,212,286
  4. Step 4: Simplify right side
    784,522x = 1,469,637,345,796
  5. Step 5: Solve for x
    x = 1,469,637,345,796/784,522
  6. Step 6: Final answer
    x = 1,873,290.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.