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Finding the Third Proportional to 746,650 and 1,628,921

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Solution

The third proportional to 746,650 and 1,628,921 is: 3,553,718.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,650 : 1,628,921 = 1,628,921 : x
  2. Step 2: Convert to fraction form
    746,650/1,628,921 = 1,628,921/x
  3. Step 3: Cross multiply
    746,650x = 1,628,921 × 1,628,921
  4. Step 4: Simplify right side
    746,650x = 2,653,383,624,241
  5. Step 5: Solve for x
    x = 2,653,383,624,241/746,650
  6. Step 6: Final answer
    x = 3,553,718.11

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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.