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Finding the Third Proportional to 458,055 and 1,000,968.75

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Solution

The third proportional to 458,055 and 1,000,968.75 is: 2,187,375.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,055 : 1,000,968.75 = 1,000,968.75 : x
  2. Step 2: Convert to fraction form
    458,055/1,000,968.75 = 1,000,968.75/x
  3. Step 3: Cross multiply
    458,055x = 1,000,968.75 × 1,000,968.75
  4. Step 4: Simplify right side
    458,055x = 1,001,938,438,476.56
  5. Step 5: Solve for x
    x = 1,001,938,438,476.56/458,055
  6. Step 6: Final answer
    x = 2,187,375.84

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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.