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Finding the Third Proportional to 1,595,865 and 3,463,002

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Solution

The third proportional to 1,595,865 and 3,463,002 is: 7,514,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595,865 : 3,463,002 = 3,463,002 : x
  2. Step 2: Convert to fraction form
    1,595,865/3,463,002 = 3,463,002/x
  3. Step 3: Cross multiply
    1,595,865x = 3,463,002 × 3,463,002
  4. Step 4: Simplify right side
    1,595,865x = 11,992,382,852,004
  5. Step 5: Solve for x
    x = 11,992,382,852,004/1,595,865
  6. Step 6: Final answer
    x = 7,514,659.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.