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Finding the Third Proportional to 971,689.50 and 2,005,617

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Solution

The third proportional to 971,689.50 and 2,005,617 is: 4,139,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,689.50 : 2,005,617 = 2,005,617 : x
  2. Step 2: Convert to fraction form
    971,689.50/2,005,617 = 2,005,617/x
  3. Step 3: Cross multiply
    971,689.50x = 2,005,617 × 2,005,617
  4. Step 4: Simplify right side
    971,689.50x = 4,022,499,550,689
  5. Step 5: Solve for x
    x = 4,022,499,550,689/971,689.50
  6. Step 6: Final answer
    x = 4,139,696.43

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.