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Finding the Third Proportional to 1,010,661.75 and 2,191,297.50

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Solution

The third proportional to 1,010,661.75 and 2,191,297.50 is: 4,751,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,661.75 : 2,191,297.50 = 2,191,297.50 : x
  2. Step 2: Convert to fraction form
    1,010,661.75/2,191,297.50 = 2,191,297.50/x
  3. Step 3: Cross multiply
    1,010,661.75x = 2,191,297.50 × 2,191,297.50
  4. Step 4: Simplify right side
    1,010,661.75x = 4,801,784,733,506.25
  5. Step 5: Solve for x
    x = 4,801,784,733,506.25/1,010,661.75
  6. Step 6: Final answer
    x = 4,751,129.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.