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Finding the Third Proportional to 1,427,083.50 and 1,956,915

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Solution

The third proportional to 1,427,083.50 and 1,956,915 is: 2,683,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427,083.50 : 1,956,915 = 1,956,915 : x
  2. Step 2: Convert to fraction form
    1,427,083.50/1,956,915 = 1,956,915/x
  3. Step 3: Cross multiply
    1,427,083.50x = 1,956,915 × 1,956,915
  4. Step 4: Simplify right side
    1,427,083.50x = 3,829,516,317,225
  5. Step 5: Solve for x
    x = 3,829,516,317,225/1,427,083.50
  6. Step 6: Final answer
    x = 2,683,456.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.