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Finding the Third Proportional to 2,066,851.69 and 3,213,454.78

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Solution

The third proportional to 2,066,851.69 and 3,213,454.78 is: 4,996,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066,851.69 : 3,213,454.78 = 3,213,454.78 : x
  2. Step 2: Convert to fraction form
    2,066,851.69/3,213,454.78 = 3,213,454.78/x
  3. Step 3: Cross multiply
    2,066,851.69x = 3,213,454.78 × 3,213,454.78
  4. Step 4: Simplify right side
    2,066,851.69x = 10,326,291,631,138.48
  5. Step 5: Solve for x
    x = 10,326,291,631,138.48/2,066,851.69
  6. Step 6: Final answer
    x = 4,996,145.44

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