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Finding the Third Proportional to 488,442 and 1,055,858.25

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Solution

The third proportional to 488,442 and 1,055,858.25 is: 2,282,434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,442 : 1,055,858.25 = 1,055,858.25 : x
  2. Step 2: Convert to fraction form
    488,442/1,055,858.25 = 1,055,858.25/x
  3. Step 3: Cross multiply
    488,442x = 1,055,858.25 × 1,055,858.25
  4. Step 4: Simplify right side
    488,442x = 1,114,836,644,093.06
  5. Step 5: Solve for x
    x = 1,114,836,644,093.06/488,442
  6. Step 6: Final answer
    x = 2,282,434.03

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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.