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Finding the Third Proportional to 1,456,578 and 2,205,109.50

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Solution

The third proportional to 1,456,578 and 2,205,109.50 is: 3,338,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,578 : 2,205,109.50 = 2,205,109.50 : x
  2. Step 2: Convert to fraction form
    1,456,578/2,205,109.50 = 2,205,109.50/x
  3. Step 3: Cross multiply
    1,456,578x = 2,205,109.50 × 2,205,109.50
  4. Step 4: Simplify right side
    1,456,578x = 4,862,507,906,990.25
  5. Step 5: Solve for x
    x = 4,862,507,906,990.25/1,456,578
  6. Step 6: Final answer
    x = 3,338,309.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.