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Finding the Third Proportional to 655,194 and 1,428,972

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Solution

The third proportional to 655,194 and 1,428,972 is: 3,116,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,194 : 1,428,972 = 1,428,972 : x
  2. Step 2: Convert to fraction form
    655,194/1,428,972 = 1,428,972/x
  3. Step 3: Cross multiply
    655,194x = 1,428,972 × 1,428,972
  4. Step 4: Simplify right side
    655,194x = 2,041,960,976,784
  5. Step 5: Solve for x
    x = 2,041,960,976,784/655,194
  6. Step 6: Final answer
    x = 3,116,574.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.