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Finding the Third Proportional to 473,019.75 and 1,064,451.38

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Solution

The third proportional to 473,019.75 and 1,064,451.38 is: 2,395,368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,019.75 : 1,064,451.38 = 1,064,451.38 : x
  2. Step 2: Convert to fraction form
    473,019.75/1,064,451.38 = 1,064,451.38/x
  3. Step 3: Cross multiply
    473,019.75x = 1,064,451.38 × 1,064,451.38
  4. Step 4: Simplify right side
    473,019.75x = 1,133,056,729,739.39
  5. Step 5: Solve for x
    x = 1,133,056,729,739.39/473,019.75
  6. Step 6: Final answer
    x = 2,395,368.76

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.