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Finding the Third Proportional to 835,107 and 1,788,309

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Solution

The third proportional to 835,107 and 1,788,309 is: 3,829,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    835,107 : 1,788,309 = 1,788,309 : x
  2. Step 2: Convert to fraction form
    835,107/1,788,309 = 1,788,309/x
  3. Step 3: Cross multiply
    835,107x = 1,788,309 × 1,788,309
  4. Step 4: Simplify right side
    835,107x = 3,198,049,079,481
  5. Step 5: Solve for x
    x = 3,198,049,079,481/835,107
  6. Step 6: Final answer
    x = 3,829,508.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.