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Finding the Third Proportional to 582,636 and 787,186

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Solution

The third proportional to 582,636 and 787,186 is: 1,063,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,636 : 787,186 = 787,186 : x
  2. Step 2: Convert to fraction form
    582,636/787,186 = 787,186/x
  3. Step 3: Cross multiply
    582,636x = 787,186 × 787,186
  4. Step 4: Simplify right side
    582,636x = 619,661,798,596
  5. Step 5: Solve for x
    x = 619,661,798,596/582,636
  6. Step 6: Final answer
    x = 1,063,548.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.