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Finding the Third Proportional to 820,050.75 and 1,774,885.50

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Solution

The third proportional to 820,050.75 and 1,774,885.50 is: 3,841,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,050.75 : 1,774,885.50 = 1,774,885.50 : x
  2. Step 2: Convert to fraction form
    820,050.75/1,774,885.50 = 1,774,885.50/x
  3. Step 3: Cross multiply
    820,050.75x = 1,774,885.50 × 1,774,885.50
  4. Step 4: Simplify right side
    820,050.75x = 3,150,218,538,110.25
  5. Step 5: Solve for x
    x = 3,150,218,538,110.25/820,050.75
  6. Step 6: Final answer
    x = 3,841,492.17

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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.