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Finding the Third Proportional to 543,886 and 1,192,304

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Solution

The third proportional to 543,886 and 1,192,304 is: 2,613,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,886 : 1,192,304 = 1,192,304 : x
  2. Step 2: Convert to fraction form
    543,886/1,192,304 = 1,192,304/x
  3. Step 3: Cross multiply
    543,886x = 1,192,304 × 1,192,304
  4. Step 4: Simplify right side
    543,886x = 1,421,588,828,416
  5. Step 5: Solve for x
    x = 1,421,588,828,416/543,886
  6. Step 6: Final answer
    x = 2,613,762.50

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