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Finding the Third Proportional to 461,803.78 and 1,008,720.84

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Solution

The third proportional to 461,803.78 and 1,008,720.84 is: 2,203,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,803.78 : 1,008,720.84 = 1,008,720.84 : x
  2. Step 2: Convert to fraction form
    461,803.78/1,008,720.84 = 1,008,720.84/x
  3. Step 3: Cross multiply
    461,803.78x = 1,008,720.84 × 1,008,720.84
  4. Step 4: Simplify right side
    461,803.78x = 1,017,517,740,615.71
  5. Step 5: Solve for x
    x = 1,017,517,740,615.71/461,803.78
  6. Step 6: Final answer
    x = 2,203,355.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.