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Finding the Third Proportional to 539,758 and 1,184,492

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Solution

The third proportional to 539,758 and 1,184,492 is: 2,599,352.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,758 : 1,184,492 = 1,184,492 : x
  2. Step 2: Convert to fraction form
    539,758/1,184,492 = 1,184,492/x
  3. Step 3: Cross multiply
    539,758x = 1,184,492 × 1,184,492
  4. Step 4: Simplify right side
    539,758x = 1,403,021,298,064
  5. Step 5: Solve for x
    x = 1,403,021,298,064/539,758
  6. Step 6: Final answer
    x = 2,599,352.48

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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.