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Finding the Third Proportional to 869,130 and 1,396,035

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Solution

The third proportional to 869,130 and 1,396,035 is: 2,242,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,130 : 1,396,035 = 1,396,035 : x
  2. Step 2: Convert to fraction form
    869,130/1,396,035 = 1,396,035/x
  3. Step 3: Cross multiply
    869,130x = 1,396,035 × 1,396,035
  4. Step 4: Simplify right side
    869,130x = 1,948,913,721,225
  5. Step 5: Solve for x
    x = 1,948,913,721,225/869,130
  6. Step 6: Final answer
    x = 2,242,373.09

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.