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Finding the Third Proportional to 539,754 and 1,184,484

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Solution

The third proportional to 539,754 and 1,184,484 is: 2,599,336.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,754 : 1,184,484 = 1,184,484 : x
  2. Step 2: Convert to fraction form
    539,754/1,184,484 = 1,184,484/x
  3. Step 3: Cross multiply
    539,754x = 1,184,484 × 1,184,484
  4. Step 4: Simplify right side
    539,754x = 1,403,002,346,256
  5. Step 5: Solve for x
    x = 1,403,002,346,256/539,754
  6. Step 6: Final answer
    x = 2,599,336.64

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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.