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Finding the Third Proportional to 641,006 and 1,401,082.50

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Solution

The third proportional to 641,006 and 1,401,082.50 is: 3,062,424.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,006 : 1,401,082.50 = 1,401,082.50 : x
  2. Step 2: Convert to fraction form
    641,006/1,401,082.50 = 1,401,082.50/x
  3. Step 3: Cross multiply
    641,006x = 1,401,082.50 × 1,401,082.50
  4. Step 4: Simplify right side
    641,006x = 1,963,032,171,806.25
  5. Step 5: Solve for x
    x = 1,963,032,171,806.25/641,006
  6. Step 6: Final answer
    x = 3,062,424.02

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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.