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Finding the Third Proportional to 716,912.25 and 1,564,254.75

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Solution

The third proportional to 716,912.25 and 1,564,254.75 is: 3,413,099.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,912.25 : 1,564,254.75 = 1,564,254.75 : x
  2. Step 2: Convert to fraction form
    716,912.25/1,564,254.75 = 1,564,254.75/x
  3. Step 3: Cross multiply
    716,912.25x = 1,564,254.75 × 1,564,254.75
  4. Step 4: Simplify right side
    716,912.25x = 2,446,892,922,897.56
  5. Step 5: Solve for x
    x = 2,446,892,922,897.56/716,912.25
  6. Step 6: Final answer
    x = 3,413,099.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.