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Finding the Third Proportional to 807,538 and 1,176,253

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Solution

The third proportional to 807,538 and 1,176,253 is: 1,713,320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,538 : 1,176,253 = 1,176,253 : x
  2. Step 2: Convert to fraction form
    807,538/1,176,253 = 1,176,253/x
  3. Step 3: Cross multiply
    807,538x = 1,176,253 × 1,176,253
  4. Step 4: Simplify right side
    807,538x = 1,383,571,120,009
  5. Step 5: Solve for x
    x = 1,383,571,120,009/807,538
  6. Step 6: Final answer
    x = 1,713,320.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.