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Finding the Third Proportional to 824,037.50 and 1,781,320.50

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Solution

The third proportional to 824,037.50 and 1,781,320.50 is: 3,850,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,037.50 : 1,781,320.50 = 1,781,320.50 : x
  2. Step 2: Convert to fraction form
    824,037.50/1,781,320.50 = 1,781,320.50/x
  3. Step 3: Cross multiply
    824,037.50x = 1,781,320.50 × 1,781,320.50
  4. Step 4: Simplify right side
    824,037.50x = 3,173,102,723,720.25
  5. Step 5: Solve for x
    x = 3,173,102,723,720.25/824,037.50
  6. Step 6: Final answer
    x = 3,850,677.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.