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Finding the Third Proportional to 781,056 and 1,583,838

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Solution

The third proportional to 781,056 and 1,583,838 is: 3,211,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,056 : 1,583,838 = 1,583,838 : x
  2. Step 2: Convert to fraction form
    781,056/1,583,838 = 1,583,838/x
  3. Step 3: Cross multiply
    781,056x = 1,583,838 × 1,583,838
  4. Step 4: Simplify right side
    781,056x = 2,508,542,810,244
  5. Step 5: Solve for x
    x = 2,508,542,810,244/781,056
  6. Step 6: Final answer
    x = 3,211,732.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.