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Finding the Third Proportional to 543,860 and 1,184,490

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Solution

The third proportional to 543,860 and 1,184,490 is: 2,579,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,860 : 1,184,490 = 1,184,490 : x
  2. Step 2: Convert to fraction form
    543,860/1,184,490 = 1,184,490/x
  3. Step 3: Cross multiply
    543,860x = 1,184,490 × 1,184,490
  4. Step 4: Simplify right side
    543,860x = 1,403,016,560,100
  5. Step 5: Solve for x
    x = 1,403,016,560,100/543,860
  6. Step 6: Final answer
    x = 2,579,738.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.