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Finding the Third Proportional to 725,957 and 1,666,283

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Solution

The third proportional to 725,957 and 1,666,283 is: 3,824,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,957 : 1,666,283 = 1,666,283 : x
  2. Step 2: Convert to fraction form
    725,957/1,666,283 = 1,666,283/x
  3. Step 3: Cross multiply
    725,957x = 1,666,283 × 1,666,283
  4. Step 4: Simplify right side
    725,957x = 2,776,499,036,089
  5. Step 5: Solve for x
    x = 2,776,499,036,089/725,957
  6. Step 6: Final answer
    x = 3,824,605.36

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.