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Finding the Third Proportional to 1,140,296 and 2,461,384

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Solution

The third proportional to 1,140,296 and 2,461,384 is: 5,313,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140,296 : 2,461,384 = 2,461,384 : x
  2. Step 2: Convert to fraction form
    1,140,296/2,461,384 = 2,461,384/x
  3. Step 3: Cross multiply
    1,140,296x = 2,461,384 × 2,461,384
  4. Step 4: Simplify right side
    1,140,296x = 6,058,411,195,456
  5. Step 5: Solve for x
    x = 6,058,411,195,456/1,140,296
  6. Step 6: Final answer
    x = 5,313,016.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.