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Finding the Third Proportional to 691,011 and 1,066,041

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Solution

The third proportional to 691,011 and 1,066,041 is: 1,644,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,011 : 1,066,041 = 1,066,041 : x
  2. Step 2: Convert to fraction form
    691,011/1,066,041 = 1,066,041/x
  3. Step 3: Cross multiply
    691,011x = 1,066,041 × 1,066,041
  4. Step 4: Simplify right side
    691,011x = 1,136,443,413,681
  5. Step 5: Solve for x
    x = 1,136,443,413,681/691,011
  6. Step 6: Final answer
    x = 1,644,609.73

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.