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Finding the Third Proportional to 1,245,780 and 1,646,002

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Solution

The third proportional to 1,245,780 and 1,646,002 is: 2,174,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245,780 : 1,646,002 = 1,646,002 : x
  2. Step 2: Convert to fraction form
    1,245,780/1,646,002 = 1,646,002/x
  3. Step 3: Cross multiply
    1,245,780x = 1,646,002 × 1,646,002
  4. Step 4: Simplify right side
    1,245,780x = 2,709,322,584,004
  5. Step 5: Solve for x
    x = 2,709,322,584,004/1,245,780
  6. Step 6: Final answer
    x = 2,174,800.19

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.