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Finding the Third Proportional to 1,663,002 and 1,837,962

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Solution

The third proportional to 1,663,002 and 1,837,962 is: 2,031,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663,002 : 1,837,962 = 1,837,962 : x
  2. Step 2: Convert to fraction form
    1,663,002/1,837,962 = 1,837,962/x
  3. Step 3: Cross multiply
    1,663,002x = 1,837,962 × 1,837,962
  4. Step 4: Simplify right side
    1,663,002x = 3,378,104,313,444
  5. Step 5: Solve for x
    x = 3,378,104,313,444/1,663,002
  6. Step 6: Final answer
    x = 2,031,329.07

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.