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Finding the Third Proportional to 857,351 and 1,262,341

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Solution

The third proportional to 857,351 and 1,262,341 is: 1,858,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,351 : 1,262,341 = 1,262,341 : x
  2. Step 2: Convert to fraction form
    857,351/1,262,341 = 1,262,341/x
  3. Step 3: Cross multiply
    857,351x = 1,262,341 × 1,262,341
  4. Step 4: Simplify right side
    857,351x = 1,593,504,800,281
  5. Step 5: Solve for x
    x = 1,593,504,800,281/857,351
  6. Step 6: Final answer
    x = 1,858,637.59

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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.