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Finding the Third Proportional to 782,712 and 1,699,268

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Solution

The third proportional to 782,712 and 1,699,268 is: 3,689,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,712 : 1,699,268 = 1,699,268 : x
  2. Step 2: Convert to fraction form
    782,712/1,699,268 = 1,699,268/x
  3. Step 3: Cross multiply
    782,712x = 1,699,268 × 1,699,268
  4. Step 4: Simplify right side
    782,712x = 2,887,511,735,824
  5. Step 5: Solve for x
    x = 2,887,511,735,824/782,712
  6. Step 6: Final answer
    x = 3,689,111.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.