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Finding the Third Proportional to 543,969 and 1,190,727

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Solution

The third proportional to 543,969 and 1,190,727 is: 2,606,455.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,969 : 1,190,727 = 1,190,727 : x
  2. Step 2: Convert to fraction form
    543,969/1,190,727 = 1,190,727/x
  3. Step 3: Cross multiply
    543,969x = 1,190,727 × 1,190,727
  4. Step 4: Simplify right side
    543,969x = 1,417,830,788,529
  5. Step 5: Solve for x
    x = 1,417,830,788,529/543,969
  6. Step 6: Final answer
    x = 2,606,455.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.