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Finding the Third Proportional to 684,288 and 1,505,952

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Solution

The third proportional to 684,288 and 1,505,952 is: 3,314,235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,288 : 1,505,952 = 1,505,952 : x
  2. Step 2: Convert to fraction form
    684,288/1,505,952 = 1,505,952/x
  3. Step 3: Cross multiply
    684,288x = 1,505,952 × 1,505,952
  4. Step 4: Simplify right side
    684,288x = 2,267,891,426,304
  5. Step 5: Solve for x
    x = 2,267,891,426,304/684,288
  6. Step 6: Final answer
    x = 3,314,235.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.