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Finding the Third Proportional to 742,861.13 and 1,181,683.69

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Solution

The third proportional to 742,861.13 and 1,181,683.69 is: 1,879,727.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,861.13 : 1,181,683.69 = 1,181,683.69 : x
  2. Step 2: Convert to fraction form
    742,861.13/1,181,683.69 = 1,181,683.69/x
  3. Step 3: Cross multiply
    742,861.13x = 1,181,683.69 × 1,181,683.69
  4. Step 4: Simplify right side
    742,861.13x = 1,396,376,337,303.60
  5. Step 5: Solve for x
    x = 1,396,376,337,303.60/742,861.13
  6. Step 6: Final answer
    x = 1,879,727.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.