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Finding the Third Proportional to 857,406 and 1,232,394

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Solution

The third proportional to 857,406 and 1,232,394 is: 1,771,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,406 : 1,232,394 = 1,232,394 : x
  2. Step 2: Convert to fraction form
    857,406/1,232,394 = 1,232,394/x
  3. Step 3: Cross multiply
    857,406x = 1,232,394 × 1,232,394
  4. Step 4: Simplify right side
    857,406x = 1,518,794,971,236
  5. Step 5: Solve for x
    x = 1,518,794,971,236/857,406
  6. Step 6: Final answer
    x = 1,771,383.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.