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Finding the Third Proportional to 1,553,075.25 and 3,181,434.75

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Solution

The third proportional to 1,553,075.25 and 3,181,434.75 is: 6,517,087.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553,075.25 : 3,181,434.75 = 3,181,434.75 : x
  2. Step 2: Convert to fraction form
    1,553,075.25/3,181,434.75 = 3,181,434.75/x
  3. Step 3: Cross multiply
    1,553,075.25x = 3,181,434.75 × 3,181,434.75
  4. Step 4: Simplify right side
    1,553,075.25x = 10,121,527,068,507.56
  5. Step 5: Solve for x
    x = 10,121,527,068,507.56/1,553,075.25
  6. Step 6: Final answer
    x = 6,517,087.35

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.