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Finding the Third Proportional to 624,933 and 1,338,441

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Solution

The third proportional to 624,933 and 1,338,441 is: 2,866,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,933 : 1,338,441 = 1,338,441 : x
  2. Step 2: Convert to fraction form
    624,933/1,338,441 = 1,338,441/x
  3. Step 3: Cross multiply
    624,933x = 1,338,441 × 1,338,441
  4. Step 4: Simplify right side
    624,933x = 1,791,424,310,481
  5. Step 5: Solve for x
    x = 1,791,424,310,481/624,933
  6. Step 6: Final answer
    x = 2,866,586.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.