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Finding the Third Proportional to 746,883 and 1,148,013

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Solution

The third proportional to 746,883 and 1,148,013 is: 1,764,578.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,883 : 1,148,013 = 1,148,013 : x
  2. Step 2: Convert to fraction form
    746,883/1,148,013 = 1,148,013/x
  3. Step 3: Cross multiply
    746,883x = 1,148,013 × 1,148,013
  4. Step 4: Simplify right side
    746,883x = 1,317,933,848,169
  5. Step 5: Solve for x
    x = 1,317,933,848,169/746,883
  6. Step 6: Final answer
    x = 1,764,578.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.