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Finding the Third Proportional to 925,816 and 1,442,848

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Solution

The third proportional to 925,816 and 1,442,848 is: 2,248,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,816 : 1,442,848 = 1,442,848 : x
  2. Step 2: Convert to fraction form
    925,816/1,442,848 = 1,442,848/x
  3. Step 3: Cross multiply
    925,816x = 1,442,848 × 1,442,848
  4. Step 4: Simplify right side
    925,816x = 2,081,810,351,104
  5. Step 5: Solve for x
    x = 2,081,810,351,104/925,816
  6. Step 6: Final answer
    x = 2,248,622.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.