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Finding the Third Proportional to 849,162 and 1,238,739

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Solution

The third proportional to 849,162 and 1,238,739 is: 1,807,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,162 : 1,238,739 = 1,238,739 : x
  2. Step 2: Convert to fraction form
    849,162/1,238,739 = 1,238,739/x
  3. Step 3: Cross multiply
    849,162x = 1,238,739 × 1,238,739
  4. Step 4: Simplify right side
    849,162x = 1,534,474,310,121
  5. Step 5: Solve for x
    x = 1,534,474,310,121/849,162
  6. Step 6: Final answer
    x = 1,807,045.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.