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Finding the Third Proportional to 545,538 and 1,184,388

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Solution

The third proportional to 545,538 and 1,184,388 is: 2,571,360.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,538 : 1,184,388 = 1,184,388 : x
  2. Step 2: Convert to fraction form
    545,538/1,184,388 = 1,184,388/x
  3. Step 3: Cross multiply
    545,538x = 1,184,388 × 1,184,388
  4. Step 4: Simplify right side
    545,538x = 1,402,774,934,544
  5. Step 5: Solve for x
    x = 1,402,774,934,544/545,538
  6. Step 6: Final answer
    x = 2,571,360.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.