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Finding the Third Proportional to 697,912 and 1,052,699

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Solution

The third proportional to 697,912 and 1,052,699 is: 1,587,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,912 : 1,052,699 = 1,052,699 : x
  2. Step 2: Convert to fraction form
    697,912/1,052,699 = 1,052,699/x
  3. Step 3: Cross multiply
    697,912x = 1,052,699 × 1,052,699
  4. Step 4: Simplify right side
    697,912x = 1,108,175,184,601
  5. Step 5: Solve for x
    x = 1,108,175,184,601/697,912
  6. Step 6: Final answer
    x = 1,587,843.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.