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Finding the Third Proportional to 986,316.75 and 1,485,992.25

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Solution

The third proportional to 986,316.75 and 1,485,992.25 is: 2,238,807.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,316.75 : 1,485,992.25 = 1,485,992.25 : x
  2. Step 2: Convert to fraction form
    986,316.75/1,485,992.25 = 1,485,992.25/x
  3. Step 3: Cross multiply
    986,316.75x = 1,485,992.25 × 1,485,992.25
  4. Step 4: Simplify right side
    986,316.75x = 2,208,172,967,060.06
  5. Step 5: Solve for x
    x = 2,208,172,967,060.06/986,316.75
  6. Step 6: Final answer
    x = 2,238,807.12

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Why These Related Problems?

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