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Finding the Third Proportional to 722,580 and 1,016,652

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Solution

The third proportional to 722,580 and 1,016,652 is: 1,430,403.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,580 : 1,016,652 = 1,016,652 : x
  2. Step 2: Convert to fraction form
    722,580/1,016,652 = 1,016,652/x
  3. Step 3: Cross multiply
    722,580x = 1,016,652 × 1,016,652
  4. Step 4: Simplify right side
    722,580x = 1,033,581,289,104
  5. Step 5: Solve for x
    x = 1,033,581,289,104/722,580
  6. Step 6: Final answer
    x = 1,430,403.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.