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Finding the Third Proportional to 1,024,450 and 1,503,459

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Solution

The third proportional to 1,024,450 and 1,503,459 is: 2,206,441.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,450 : 1,503,459 = 1,503,459 : x
  2. Step 2: Convert to fraction form
    1,024,450/1,503,459 = 1,503,459/x
  3. Step 3: Cross multiply
    1,024,450x = 1,503,459 × 1,503,459
  4. Step 4: Simplify right side
    1,024,450x = 2,260,388,964,681
  5. Step 5: Solve for x
    x = 2,260,388,964,681/1,024,450
  6. Step 6: Final answer
    x = 2,206,441.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.