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Finding the Third Proportional to 1,795,686.47 and 3,940,598.11

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Solution

The third proportional to 1,795,686.47 and 3,940,598.11 is: 8,647,563.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795,686.47 : 3,940,598.11 = 3,940,598.11 : x
  2. Step 2: Convert to fraction form
    1,795,686.47/3,940,598.11 = 3,940,598.11/x
  3. Step 3: Cross multiply
    1,795,686.47x = 3,940,598.11 × 3,940,598.11
  4. Step 4: Simplify right side
    1,795,686.47x = 15,528,313,459,609.82
  5. Step 5: Solve for x
    x = 15,528,313,459,609.82/1,795,686.47
  6. Step 6: Final answer
    x = 8,647,563.89

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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.