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Finding the Third Proportional to 1,542,942 and 2,312,928

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Solution

The third proportional to 1,542,942 and 2,312,928 is: 3,467,165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542,942 : 2,312,928 = 2,312,928 : x
  2. Step 2: Convert to fraction form
    1,542,942/2,312,928 = 2,312,928/x
  3. Step 3: Cross multiply
    1,542,942x = 2,312,928 × 2,312,928
  4. Step 4: Simplify right side
    1,542,942x = 5,349,635,933,184
  5. Step 5: Solve for x
    x = 5,349,635,933,184/1,542,942
  6. Step 6: Final answer
    x = 3,467,165.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.