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Finding the Third Proportional to 817,467 and 1,203,132

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Solution

The third proportional to 817,467 and 1,203,132 is: 1,770,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,467 : 1,203,132 = 1,203,132 : x
  2. Step 2: Convert to fraction form
    817,467/1,203,132 = 1,203,132/x
  3. Step 3: Cross multiply
    817,467x = 1,203,132 × 1,203,132
  4. Step 4: Simplify right side
    817,467x = 1,447,526,609,424
  5. Step 5: Solve for x
    x = 1,447,526,609,424/817,467
  6. Step 6: Final answer
    x = 1,770,746.23

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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.