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Finding the Third Proportional to 539,724 and 1,184,424

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Solution

The third proportional to 539,724 and 1,184,424 is: 2,599,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,724 : 1,184,424 = 1,184,424 : x
  2. Step 2: Convert to fraction form
    539,724/1,184,424 = 1,184,424/x
  3. Step 3: Cross multiply
    539,724x = 1,184,424 × 1,184,424
  4. Step 4: Simplify right side
    539,724x = 1,402,860,211,776
  5. Step 5: Solve for x
    x = 1,402,860,211,776/539,724
  6. Step 6: Final answer
    x = 2,599,217.77

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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.