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Finding the Third Proportional to 543,953 and 1,184,683

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Solution

The third proportional to 543,953 and 1,184,683 is: 2,580,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,953 : 1,184,683 = 1,184,683 : x
  2. Step 2: Convert to fraction form
    543,953/1,184,683 = 1,184,683/x
  3. Step 3: Cross multiply
    543,953x = 1,184,683 × 1,184,683
  4. Step 4: Simplify right side
    543,953x = 1,403,473,810,489
  5. Step 5: Solve for x
    x = 1,403,473,810,489/543,953
  6. Step 6: Final answer
    x = 2,580,138.01

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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.