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Finding the Third Proportional to 553,216 and 1,206,968

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Solution

The third proportional to 553,216 and 1,206,968 is: 2,633,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,216 : 1,206,968 = 1,206,968 : x
  2. Step 2: Convert to fraction form
    553,216/1,206,968 = 1,206,968/x
  3. Step 3: Cross multiply
    553,216x = 1,206,968 × 1,206,968
  4. Step 4: Simplify right side
    553,216x = 1,456,771,753,024
  5. Step 5: Solve for x
    x = 1,456,771,753,024/553,216
  6. Step 6: Final answer
    x = 2,633,278.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.