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Finding the Third Proportional to 695,149 and 1,523,164

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Solution

The third proportional to 695,149 and 1,523,164 is: 3,337,455.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,149 : 1,523,164 = 1,523,164 : x
  2. Step 2: Convert to fraction form
    695,149/1,523,164 = 1,523,164/x
  3. Step 3: Cross multiply
    695,149x = 1,523,164 × 1,523,164
  4. Step 4: Simplify right side
    695,149x = 2,320,028,570,896
  5. Step 5: Solve for x
    x = 2,320,028,570,896/695,149
  6. Step 6: Final answer
    x = 3,337,455.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.