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Finding the Third Proportional to 1,187,705.50 and 2,771,826.25

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Solution

The third proportional to 1,187,705.50 and 2,771,826.25 is: 6,468,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,705.50 : 2,771,826.25 = 2,771,826.25 : x
  2. Step 2: Convert to fraction form
    1,187,705.50/2,771,826.25 = 2,771,826.25/x
  3. Step 3: Cross multiply
    1,187,705.50x = 2,771,826.25 × 2,771,826.25
  4. Step 4: Simplify right side
    1,187,705.50x = 7,683,020,760,189.06
  5. Step 5: Solve for x
    x = 7,683,020,760,189.06/1,187,705.50
  6. Step 6: Final answer
    x = 6,468,792.78

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.