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Finding the Third Proportional to 462,450 and 1,013,271

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Solution

The third proportional to 462,450 and 1,013,271 is: 2,220,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,450 : 1,013,271 = 1,013,271 : x
  2. Step 2: Convert to fraction form
    462,450/1,013,271 = 1,013,271/x
  3. Step 3: Cross multiply
    462,450x = 1,013,271 × 1,013,271
  4. Step 4: Simplify right side
    462,450x = 1,026,718,119,441
  5. Step 5: Solve for x
    x = 1,026,718,119,441/462,450
  6. Step 6: Final answer
    x = 2,220,171.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.