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Finding the Third Proportional to 841,546 and 1,183,695

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Solution

The third proportional to 841,546 and 1,183,695 is: 1,664,952.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,546 : 1,183,695 = 1,183,695 : x
  2. Step 2: Convert to fraction form
    841,546/1,183,695 = 1,183,695/x
  3. Step 3: Cross multiply
    841,546x = 1,183,695 × 1,183,695
  4. Step 4: Simplify right side
    841,546x = 1,401,133,853,025
  5. Step 5: Solve for x
    x = 1,401,133,853,025/841,546
  6. Step 6: Final answer
    x = 1,664,952.19

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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.