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Finding the Third Proportional to 1,000,171.50 and 2,160,276

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Solution

The third proportional to 1,000,171.50 and 2,160,276 is: 4,665,992.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,171.50 : 2,160,276 = 2,160,276 : x
  2. Step 2: Convert to fraction form
    1,000,171.50/2,160,276 = 2,160,276/x
  3. Step 3: Cross multiply
    1,000,171.50x = 2,160,276 × 2,160,276
  4. Step 4: Simplify right side
    1,000,171.50x = 4,666,792,396,176
  5. Step 5: Solve for x
    x = 4,666,792,396,176/1,000,171.50
  6. Step 6: Final answer
    x = 4,665,992.18

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