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Finding the Third Proportional to 781,036 and 1,624,279

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Solution

The third proportional to 781,036 and 1,624,279 is: 3,377,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,036 : 1,624,279 = 1,624,279 : x
  2. Step 2: Convert to fraction form
    781,036/1,624,279 = 1,624,279/x
  3. Step 3: Cross multiply
    781,036x = 1,624,279 × 1,624,279
  4. Step 4: Simplify right side
    781,036x = 2,638,282,269,841
  5. Step 5: Solve for x
    x = 2,638,282,269,841/781,036
  6. Step 6: Final answer
    x = 3,377,926.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.