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Finding the Third Proportional to 749,696 and 1,071,320

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Solution

The third proportional to 749,696 and 1,071,320 is: 1,530,922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,696 : 1,071,320 = 1,071,320 : x
  2. Step 2: Convert to fraction form
    749,696/1,071,320 = 1,071,320/x
  3. Step 3: Cross multiply
    749,696x = 1,071,320 × 1,071,320
  4. Step 4: Simplify right side
    749,696x = 1,147,726,542,400
  5. Step 5: Solve for x
    x = 1,147,726,542,400/749,696
  6. Step 6: Final answer
    x = 1,530,922.59

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.