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Finding the Third Proportional to 466,812 and 1,024,015.50

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Solution

The third proportional to 466,812 and 1,024,015.50 is: 2,246,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,812 : 1,024,015.50 = 1,024,015.50 : x
  2. Step 2: Convert to fraction form
    466,812/1,024,015.50 = 1,024,015.50/x
  3. Step 3: Cross multiply
    466,812x = 1,024,015.50 × 1,024,015.50
  4. Step 4: Simplify right side
    466,812x = 1,048,607,744,240.25
  5. Step 5: Solve for x
    x = 1,048,607,744,240.25/466,812
  6. Step 6: Final answer
    x = 2,246,317.03

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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.