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Finding the Third Proportional to 545,850 and 1,184,476

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Solution

The third proportional to 545,850 and 1,184,476 is: 2,570,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,850 : 1,184,476 = 1,184,476 : x
  2. Step 2: Convert to fraction form
    545,850/1,184,476 = 1,184,476/x
  3. Step 3: Cross multiply
    545,850x = 1,184,476 × 1,184,476
  4. Step 4: Simplify right side
    545,850x = 1,402,983,394,576
  5. Step 5: Solve for x
    x = 1,402,983,394,576/545,850
  6. Step 6: Final answer
    x = 2,570,272.78

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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.