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Finding the Third Proportional to 938,862 and 1,412,784

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Solution

The third proportional to 938,862 and 1,412,784 is: 2,125,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,862 : 1,412,784 = 1,412,784 : x
  2. Step 2: Convert to fraction form
    938,862/1,412,784 = 1,412,784/x
  3. Step 3: Cross multiply
    938,862x = 1,412,784 × 1,412,784
  4. Step 4: Simplify right side
    938,862x = 1,995,958,630,656
  5. Step 5: Solve for x
    x = 1,995,958,630,656/938,862
  6. Step 6: Final answer
    x = 2,125,933.98

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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.