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Finding the Third Proportional to 638,741 and 1,401,898

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Solution

The third proportional to 638,741 and 1,401,898 is: 3,076,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,741 : 1,401,898 = 1,401,898 : x
  2. Step 2: Convert to fraction form
    638,741/1,401,898 = 1,401,898/x
  3. Step 3: Cross multiply
    638,741x = 1,401,898 × 1,401,898
  4. Step 4: Simplify right side
    638,741x = 1,965,318,002,404
  5. Step 5: Solve for x
    x = 1,965,318,002,404/638,741
  6. Step 6: Final answer
    x = 3,076,862.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.