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Finding the Third Proportional to 952,480 and 1,297,098

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Solution

The third proportional to 952,480 and 1,297,098 is: 1,766,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,480 : 1,297,098 = 1,297,098 : x
  2. Step 2: Convert to fraction form
    952,480/1,297,098 = 1,297,098/x
  3. Step 3: Cross multiply
    952,480x = 1,297,098 × 1,297,098
  4. Step 4: Simplify right side
    952,480x = 1,682,463,221,604
  5. Step 5: Solve for x
    x = 1,682,463,221,604/952,480
  6. Step 6: Final answer
    x = 1,766,402.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.