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Finding the Third Proportional to 469,508 and 1,012,024

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Solution

The third proportional to 469,508 and 1,012,024 is: 2,181,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,508 : 1,012,024 = 1,012,024 : x
  2. Step 2: Convert to fraction form
    469,508/1,012,024 = 1,012,024/x
  3. Step 3: Cross multiply
    469,508x = 1,012,024 × 1,012,024
  4. Step 4: Simplify right side
    469,508x = 1,024,192,576,576
  5. Step 5: Solve for x
    x = 1,024,192,576,576/469,508
  6. Step 6: Final answer
    x = 2,181,416.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.