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Finding the Third Proportional to 914,481 and 1,233,589.50

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Solution

The third proportional to 914,481 and 1,233,589.50 is: 1,664,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,481 : 1,233,589.50 = 1,233,589.50 : x
  2. Step 2: Convert to fraction form
    914,481/1,233,589.50 = 1,233,589.50/x
  3. Step 3: Cross multiply
    914,481x = 1,233,589.50 × 1,233,589.50
  4. Step 4: Simplify right side
    914,481x = 1,521,743,054,510.25
  5. Step 5: Solve for x
    x = 1,521,743,054,510.25/914,481
  6. Step 6: Final answer
    x = 1,664,051.03

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.