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Finding the Third Proportional to 756,912 and 895,152

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Solution

The third proportional to 756,912 and 895,152 is: 1,058,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,912 : 895,152 = 895,152 : x
  2. Step 2: Convert to fraction form
    756,912/895,152 = 895,152/x
  3. Step 3: Cross multiply
    756,912x = 895,152 × 895,152
  4. Step 4: Simplify right side
    756,912x = 801,297,103,104
  5. Step 5: Solve for x
    x = 801,297,103,104/756,912
  6. Step 6: Final answer
    x = 1,058,639.71

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.