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Finding the Third Proportional to 841,538 and 1,183,683

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Solution

The third proportional to 841,538 and 1,183,683 is: 1,664,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,538 : 1,183,683 = 1,183,683 : x
  2. Step 2: Convert to fraction form
    841,538/1,183,683 = 1,183,683/x
  3. Step 3: Cross multiply
    841,538x = 1,183,683 × 1,183,683
  4. Step 4: Simplify right side
    841,538x = 1,401,105,444,489
  5. Step 5: Solve for x
    x = 1,401,105,444,489/841,538
  6. Step 6: Final answer
    x = 1,664,934.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.