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Finding the Third Proportional to 605,964 and 1,304,952

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Solution

The third proportional to 605,964 and 1,304,952 is: 2,810,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,964 : 1,304,952 = 1,304,952 : x
  2. Step 2: Convert to fraction form
    605,964/1,304,952 = 1,304,952/x
  3. Step 3: Cross multiply
    605,964x = 1,304,952 × 1,304,952
  4. Step 4: Simplify right side
    605,964x = 1,702,899,722,304
  5. Step 5: Solve for x
    x = 1,702,899,722,304/605,964
  6. Step 6: Final answer
    x = 2,810,232.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.