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Finding the Third Proportional to 1,780,742 and 4,199,387

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Solution

The third proportional to 1,780,742 and 4,199,387 is: 9,903,091.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,742 : 4,199,387 = 4,199,387 : x
  2. Step 2: Convert to fraction form
    1,780,742/4,199,387 = 4,199,387/x
  3. Step 3: Cross multiply
    1,780,742x = 4,199,387 × 4,199,387
  4. Step 4: Simplify right side
    1,780,742x = 17,634,851,175,769
  5. Step 5: Solve for x
    x = 17,634,851,175,769/1,780,742
  6. Step 6: Final answer
    x = 9,903,091.62

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