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Finding the Third Proportional to 808,972 and 1,765,400

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Solution

The third proportional to 808,972 and 1,765,400 is: 3,852,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,972 : 1,765,400 = 1,765,400 : x
  2. Step 2: Convert to fraction form
    808,972/1,765,400 = 1,765,400/x
  3. Step 3: Cross multiply
    808,972x = 1,765,400 × 1,765,400
  4. Step 4: Simplify right side
    808,972x = 3,116,637,160,000
  5. Step 5: Solve for x
    x = 3,116,637,160,000/808,972
  6. Step 6: Final answer
    x = 3,852,589.66

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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.