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Finding the Third Proportional to 3,830,016.75 and 5,938,454.25

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Solution

The third proportional to 3,830,016.75 and 5,938,454.25 is: 9,207,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830,016.75 : 5,938,454.25 = 5,938,454.25 : x
  2. Step 2: Convert to fraction form
    3,830,016.75/5,938,454.25 = 5,938,454.25/x
  3. Step 3: Cross multiply
    3,830,016.75x = 5,938,454.25 × 5,938,454.25
  4. Step 4: Simplify right side
    3,830,016.75x = 35,265,238,879,343.06
  5. Step 5: Solve for x
    x = 35,265,238,879,343.06/3,830,016.75
  6. Step 6: Final answer
    x = 9,207,593.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.