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Finding the Third Proportional to 1,696,561 and 3,511,214

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Solution

The third proportional to 1,696,561 and 3,511,214 is: 7,266,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696,561 : 3,511,214 = 3,511,214 : x
  2. Step 2: Convert to fraction form
    1,696,561/3,511,214 = 3,511,214/x
  3. Step 3: Cross multiply
    1,696,561x = 3,511,214 × 3,511,214
  4. Step 4: Simplify right side
    1,696,561x = 12,328,623,753,796
  5. Step 5: Solve for x
    x = 12,328,623,753,796/1,696,561
  6. Step 6: Final answer
    x = 7,266,831.99

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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.