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Finding the Third Proportional to 539,732 and 1,184,440

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Solution

The third proportional to 539,732 and 1,184,440 is: 2,599,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,732 : 1,184,440 = 1,184,440 : x
  2. Step 2: Convert to fraction form
    539,732/1,184,440 = 1,184,440/x
  3. Step 3: Cross multiply
    539,732x = 1,184,440 × 1,184,440
  4. Step 4: Simplify right side
    539,732x = 1,402,898,113,600
  5. Step 5: Solve for x
    x = 1,402,898,113,600/539,732
  6. Step 6: Final answer
    x = 2,599,249.47

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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.