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Finding the Third Proportional to 695,593.50 and 1,057,971

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Solution

The third proportional to 695,593.50 and 1,057,971 is: 1,609,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,593.50 : 1,057,971 = 1,057,971 : x
  2. Step 2: Convert to fraction form
    695,593.50/1,057,971 = 1,057,971/x
  3. Step 3: Cross multiply
    695,593.50x = 1,057,971 × 1,057,971
  4. Step 4: Simplify right side
    695,593.50x = 1,119,302,636,841
  5. Step 5: Solve for x
    x = 1,119,302,636,841/695,593.50
  6. Step 6: Final answer
    x = 1,609,133.26

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.