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Finding the Third Proportional to 874,912 and 1,349,682

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Solution

The third proportional to 874,912 and 1,349,682 is: 2,082,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,912 : 1,349,682 = 1,349,682 : x
  2. Step 2: Convert to fraction form
    874,912/1,349,682 = 1,349,682/x
  3. Step 3: Cross multiply
    874,912x = 1,349,682 × 1,349,682
  4. Step 4: Simplify right side
    874,912x = 1,821,641,501,124
  5. Step 5: Solve for x
    x = 1,821,641,501,124/874,912
  6. Step 6: Final answer
    x = 2,082,085.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.