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Finding the Third Proportional to 539,728 and 1,184,432

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Solution

The third proportional to 539,728 and 1,184,432 is: 2,599,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,728 : 1,184,432 = 1,184,432 : x
  2. Step 2: Convert to fraction form
    539,728/1,184,432 = 1,184,432/x
  3. Step 3: Cross multiply
    539,728x = 1,184,432 × 1,184,432
  4. Step 4: Simplify right side
    539,728x = 1,402,879,162,624
  5. Step 5: Solve for x
    x = 1,402,879,162,624/539,728
  6. Step 6: Final answer
    x = 2,599,233.62

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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.