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Finding the Third Proportional to 1,596,968.44 and 3,463,462.13

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Solution

The third proportional to 1,596,968.44 and 3,463,462.13 is: 7,511,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,968.44 : 3,463,462.13 = 3,463,462.13 : x
  2. Step 2: Convert to fraction form
    1,596,968.44/3,463,462.13 = 3,463,462.13/x
  3. Step 3: Cross multiply
    1,596,968.44x = 3,463,462.13 × 3,463,462.13
  4. Step 4: Simplify right side
    1,596,968.44x = 11,995,569,891,309.52
  5. Step 5: Solve for x
    x = 11,995,569,891,309.52/1,596,968.44
  6. Step 6: Final answer
    x = 7,511,463.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.