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Finding the Third Proportional to 475,122.38 and 1,024,511.63

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Solution

The third proportional to 475,122.38 and 1,024,511.63 is: 2,209,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,122.38 : 1,024,511.63 = 1,024,511.63 : x
  2. Step 2: Convert to fraction form
    475,122.38/1,024,511.63 = 1,024,511.63/x
  3. Step 3: Cross multiply
    475,122.38x = 1,024,511.63 × 1,024,511.63
  4. Step 4: Simplify right side
    475,122.38x = 1,049,624,069,760.14
  5. Step 5: Solve for x
    x = 1,049,624,069,760.14/475,122.38
  6. Step 6: Final answer
    x = 2,209,165.73

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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.