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Finding the Third Proportional to 783,290 and 1,715,836

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Solution

The third proportional to 783,290 and 1,715,836 is: 3,758,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,290 : 1,715,836 = 1,715,836 : x
  2. Step 2: Convert to fraction form
    783,290/1,715,836 = 1,715,836/x
  3. Step 3: Cross multiply
    783,290x = 1,715,836 × 1,715,836
  4. Step 4: Simplify right side
    783,290x = 2,944,093,178,896
  5. Step 5: Solve for x
    x = 2,944,093,178,896/783,290
  6. Step 6: Final answer
    x = 3,758,624.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.