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Finding the Third Proportional to 722,081 and 1,144,358

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Solution

The third proportional to 722,081 and 1,144,358 is: 1,813,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,081 : 1,144,358 = 1,144,358 : x
  2. Step 2: Convert to fraction form
    722,081/1,144,358 = 1,144,358/x
  3. Step 3: Cross multiply
    722,081x = 1,144,358 × 1,144,358
  4. Step 4: Simplify right side
    722,081x = 1,309,555,232,164
  5. Step 5: Solve for x
    x = 1,309,555,232,164/722,081
  6. Step 6: Final answer
    x = 1,813,584.95

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.