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Finding the Third Proportional to 1,069,823 and 2,308,172

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Solution

The third proportional to 1,069,823 and 2,308,172 is: 4,979,943.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069,823 : 2,308,172 = 2,308,172 : x
  2. Step 2: Convert to fraction form
    1,069,823/2,308,172 = 2,308,172/x
  3. Step 3: Cross multiply
    1,069,823x = 2,308,172 × 2,308,172
  4. Step 4: Simplify right side
    1,069,823x = 5,327,657,981,584
  5. Step 5: Solve for x
    x = 5,327,657,981,584/1,069,823
  6. Step 6: Final answer
    x = 4,979,943.39

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.