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Finding the Third Proportional to 869,761.50 and 1,316,671.50

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Solution

The third proportional to 869,761.50 and 1,316,671.50 is: 1,993,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,761.50 : 1,316,671.50 = 1,316,671.50 : x
  2. Step 2: Convert to fraction form
    869,761.50/1,316,671.50 = 1,316,671.50/x
  3. Step 3: Cross multiply
    869,761.50x = 1,316,671.50 × 1,316,671.50
  4. Step 4: Simplify right side
    869,761.50x = 1,733,623,838,912.25
  5. Step 5: Solve for x
    x = 1,733,623,838,912.25/869,761.50
  6. Step 6: Final answer
    x = 1,993,217.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.