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Finding the Third Proportional to 1,356,016 and 1,841,640

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Solution

The third proportional to 1,356,016 and 1,841,640 is: 2,501,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356,016 : 1,841,640 = 1,841,640 : x
  2. Step 2: Convert to fraction form
    1,356,016/1,841,640 = 1,841,640/x
  3. Step 3: Cross multiply
    1,356,016x = 1,841,640 × 1,841,640
  4. Step 4: Simplify right side
    1,356,016x = 3,391,637,889,600
  5. Step 5: Solve for x
    x = 3,391,637,889,600/1,356,016
  6. Step 6: Final answer
    x = 2,501,178.37

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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.