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Finding the Third Proportional to 850,766 and 1,259,733

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Solution

The third proportional to 850,766 and 1,259,733 is: 1,865,292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,766 : 1,259,733 = 1,259,733 : x
  2. Step 2: Convert to fraction form
    850,766/1,259,733 = 1,259,733/x
  3. Step 3: Cross multiply
    850,766x = 1,259,733 × 1,259,733
  4. Step 4: Simplify right side
    850,766x = 1,586,927,231,289
  5. Step 5: Solve for x
    x = 1,586,927,231,289/850,766
  6. Step 6: Final answer
    x = 1,865,292.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.