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Finding the Third Proportional to 1,531,872 and 3,578,094

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Solution

The third proportional to 1,531,872 and 3,578,094 is: 8,357,589.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,872 : 3,578,094 = 3,578,094 : x
  2. Step 2: Convert to fraction form
    1,531,872/3,578,094 = 3,578,094/x
  3. Step 3: Cross multiply
    1,531,872x = 3,578,094 × 3,578,094
  4. Step 4: Simplify right side
    1,531,872x = 12,802,756,672,836
  5. Step 5: Solve for x
    x = 12,802,756,672,836/1,531,872
  6. Step 6: Final answer
    x = 8,357,589.06

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.