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Finding the Third Proportional to 1,456,784.05 and 3,172,197.94

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Solution

The third proportional to 1,456,784.05 and 3,172,197.94 is: 6,907,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,784.05 : 3,172,197.94 = 3,172,197.94 : x
  2. Step 2: Convert to fraction form
    1,456,784.05/3,172,197.94 = 3,172,197.94/x
  3. Step 3: Cross multiply
    1,456,784.05x = 3,172,197.94 × 3,172,197.94
  4. Step 4: Simplify right side
    1,456,784.05x = 10,062,839,754,679.25
  5. Step 5: Solve for x
    x = 10,062,839,754,679.25/1,456,784.05
  6. Step 6: Final answer
    x = 6,907,571.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.