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Finding the Third Proportional to 553,217 and 1,206,970

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Solution

The third proportional to 553,217 and 1,206,970 is: 2,633,282.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,217 : 1,206,970 = 1,206,970 : x
  2. Step 2: Convert to fraction form
    553,217/1,206,970 = 1,206,970/x
  3. Step 3: Cross multiply
    553,217x = 1,206,970 × 1,206,970
  4. Step 4: Simplify right side
    553,217x = 1,456,776,580,900
  5. Step 5: Solve for x
    x = 1,456,776,580,900/553,217
  6. Step 6: Final answer
    x = 2,633,282.38

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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.