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Finding the Third Proportional to 564,156.75 and 1,174,969.50

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Solution

The third proportional to 564,156.75 and 1,174,969.50 is: 2,447,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,156.75 : 1,174,969.50 = 1,174,969.50 : x
  2. Step 2: Convert to fraction form
    564,156.75/1,174,969.50 = 1,174,969.50/x
  3. Step 3: Cross multiply
    564,156.75x = 1,174,969.50 × 1,174,969.50
  4. Step 4: Simplify right side
    564,156.75x = 1,380,553,325,930.25
  5. Step 5: Solve for x
    x = 1,380,553,325,930.25/564,156.75
  6. Step 6: Final answer
    x = 2,447,109.47

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.