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Finding the Third Proportional to 819,236 and 1,695,304

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Solution

The third proportional to 819,236 and 1,695,304 is: 3,508,214.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,236 : 1,695,304 = 1,695,304 : x
  2. Step 2: Convert to fraction form
    819,236/1,695,304 = 1,695,304/x
  3. Step 3: Cross multiply
    819,236x = 1,695,304 × 1,695,304
  4. Step 4: Simplify right side
    819,236x = 2,874,055,652,416
  5. Step 5: Solve for x
    x = 2,874,055,652,416/819,236
  6. Step 6: Final answer
    x = 3,508,214.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.