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Finding the Third Proportional to 761,654 and 1,628,302

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Solution

The third proportional to 761,654 and 1,628,302 is: 3,481,065.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,654 : 1,628,302 = 1,628,302 : x
  2. Step 2: Convert to fraction form
    761,654/1,628,302 = 1,628,302/x
  3. Step 3: Cross multiply
    761,654x = 1,628,302 × 1,628,302
  4. Step 4: Simplify right side
    761,654x = 2,651,367,403,204
  5. Step 5: Solve for x
    x = 2,651,367,403,204/761,654
  6. Step 6: Final answer
    x = 3,481,065.42

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.