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Finding the Third Proportional to 853,940 and 1,848,136

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Solution

The third proportional to 853,940 and 1,848,136 is: 3,999,820.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,940 : 1,848,136 = 1,848,136 : x
  2. Step 2: Convert to fraction form
    853,940/1,848,136 = 1,848,136/x
  3. Step 3: Cross multiply
    853,940x = 1,848,136 × 1,848,136
  4. Step 4: Simplify right side
    853,940x = 3,415,606,674,496
  5. Step 5: Solve for x
    x = 3,415,606,674,496/853,940
  6. Step 6: Final answer
    x = 3,999,820.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.