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Finding the Third Proportional to 461,837.25 and 1,007,266.50

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Solution

The third proportional to 461,837.25 and 1,007,266.50 is: 2,196,847.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,837.25 : 1,007,266.50 = 1,007,266.50 : x
  2. Step 2: Convert to fraction form
    461,837.25/1,007,266.50 = 1,007,266.50/x
  3. Step 3: Cross multiply
    461,837.25x = 1,007,266.50 × 1,007,266.50
  4. Step 4: Simplify right side
    461,837.25x = 1,014,585,802,022.25
  5. Step 5: Solve for x
    x = 1,014,585,802,022.25/461,837.25
  6. Step 6: Final answer
    x = 2,196,847.05

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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.