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Finding the Third Proportional to 818,498 and 1,785,670

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Solution

The third proportional to 818,498 and 1,785,670 is: 3,895,693.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,498 : 1,785,670 = 1,785,670 : x
  2. Step 2: Convert to fraction form
    818,498/1,785,670 = 1,785,670/x
  3. Step 3: Cross multiply
    818,498x = 1,785,670 × 1,785,670
  4. Step 4: Simplify right side
    818,498x = 3,188,617,348,900
  5. Step 5: Solve for x
    x = 3,188,617,348,900/818,498
  6. Step 6: Final answer
    x = 3,895,693.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.