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Finding the Third Proportional to 1,922,457.75 and 4,538,145.75

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Solution

The third proportional to 1,922,457.75 and 4,538,145.75 is: 10,712,727.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,457.75 : 4,538,145.75 = 4,538,145.75 : x
  2. Step 2: Convert to fraction form
    1,922,457.75/4,538,145.75 = 4,538,145.75/x
  3. Step 3: Cross multiply
    1,922,457.75x = 4,538,145.75 × 4,538,145.75
  4. Step 4: Simplify right side
    1,922,457.75x = 20,594,766,848,243.06
  5. Step 5: Solve for x
    x = 20,594,766,848,243.06/1,922,457.75
  6. Step 6: Final answer
    x = 10,712,727.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.