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Finding the Third Proportional to 601,689 and 1,321,461

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Solution

The third proportional to 601,689 and 1,321,461 is: 2,902,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,689 : 1,321,461 = 1,321,461 : x
  2. Step 2: Convert to fraction form
    601,689/1,321,461 = 1,321,461/x
  3. Step 3: Cross multiply
    601,689x = 1,321,461 × 1,321,461
  4. Step 4: Simplify right side
    601,689x = 1,746,259,174,521
  5. Step 5: Solve for x
    x = 1,746,259,174,521/601,689
  6. Step 6: Final answer
    x = 2,902,262.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.