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Finding the Third Proportional to 761,162.25 and 1,637,142

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Solution

The third proportional to 761,162.25 and 1,637,142 is: 3,521,238.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,162.25 : 1,637,142 = 1,637,142 : x
  2. Step 2: Convert to fraction form
    761,162.25/1,637,142 = 1,637,142/x
  3. Step 3: Cross multiply
    761,162.25x = 1,637,142 × 1,637,142
  4. Step 4: Simplify right side
    761,162.25x = 2,680,233,928,164
  5. Step 5: Solve for x
    x = 2,680,233,928,164/761,162.25
  6. Step 6: Final answer
    x = 3,521,238.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.