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Finding the Third Proportional to 733,509 and 1,122,059.25

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Solution

The third proportional to 733,509 and 1,122,059.25 is: 1,716,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,509 : 1,122,059.25 = 1,122,059.25 : x
  2. Step 2: Convert to fraction form
    733,509/1,122,059.25 = 1,122,059.25/x
  3. Step 3: Cross multiply
    733,509x = 1,122,059.25 × 1,122,059.25
  4. Step 4: Simplify right side
    733,509x = 1,259,016,960,510.56
  5. Step 5: Solve for x
    x = 1,259,016,960,510.56/733,509
  6. Step 6: Final answer
    x = 1,716,430.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.