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Finding the Third Proportional to 1,235,683.69 and 2,660,968.13

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Solution

The third proportional to 1,235,683.69 and 2,660,968.13 is: 5,730,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235,683.69 : 2,660,968.13 = 2,660,968.13 : x
  2. Step 2: Convert to fraction form
    1,235,683.69/2,660,968.13 = 2,660,968.13/x
  3. Step 3: Cross multiply
    1,235,683.69x = 2,660,968.13 × 2,660,968.13
  4. Step 4: Simplify right side
    1,235,683.69x = 7,080,751,362,266.02
  5. Step 5: Solve for x
    x = 7,080,751,362,266.02/1,235,683.69
  6. Step 6: Final answer
    x = 5,730,229.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.