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Finding the Third Proportional to 1,104,264.14 and 2,335,846.36

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Solution

The third proportional to 1,104,264.14 and 2,335,846.36 is: 4,941,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104,264.14 : 2,335,846.36 = 2,335,846.36 : x
  2. Step 2: Convert to fraction form
    1,104,264.14/2,335,846.36 = 2,335,846.36/x
  3. Step 3: Cross multiply
    1,104,264.14x = 2,335,846.36 × 2,335,846.36
  4. Step 4: Simplify right side
    1,104,264.14x = 5,456,178,214,605.44
  5. Step 5: Solve for x
    x = 5,456,178,214,605.44/1,104,264.14
  6. Step 6: Final answer
    x = 4,941,008.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.