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Finding the Third Proportional to 963,036 and 1,470,204

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Solution

The third proportional to 963,036 and 1,470,204 is: 2,244,464.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,036 : 1,470,204 = 1,470,204 : x
  2. Step 2: Convert to fraction form
    963,036/1,470,204 = 1,470,204/x
  3. Step 3: Cross multiply
    963,036x = 1,470,204 × 1,470,204
  4. Step 4: Simplify right side
    963,036x = 2,161,499,801,616
  5. Step 5: Solve for x
    x = 2,161,499,801,616/963,036
  6. Step 6: Final answer
    x = 2,244,464.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.