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Finding the Third Proportional to 632,090.25 and 1,382,420.25

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Solution

The third proportional to 632,090.25 and 1,382,420.25 is: 3,023,438.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,090.25 : 1,382,420.25 = 1,382,420.25 : x
  2. Step 2: Convert to fraction form
    632,090.25/1,382,420.25 = 1,382,420.25/x
  3. Step 3: Cross multiply
    632,090.25x = 1,382,420.25 × 1,382,420.25
  4. Step 4: Simplify right side
    632,090.25x = 1,911,085,747,610.06
  5. Step 5: Solve for x
    x = 1,911,085,747,610.06/632,090.25
  6. Step 6: Final answer
    x = 3,023,438.10

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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.