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Finding the Third Proportional to 689,634 and 1,035,382.50

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Solution

The third proportional to 689,634 and 1,035,382.50 is: 1,554,472.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,634 : 1,035,382.50 = 1,035,382.50 : x
  2. Step 2: Convert to fraction form
    689,634/1,035,382.50 = 1,035,382.50/x
  3. Step 3: Cross multiply
    689,634x = 1,035,382.50 × 1,035,382.50
  4. Step 4: Simplify right side
    689,634x = 1,072,016,921,306.25
  5. Step 5: Solve for x
    x = 1,072,016,921,306.25/689,634
  6. Step 6: Final answer
    x = 1,554,472.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.