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Finding the Third Proportional to 545,848 and 1,184,472

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Solution

The third proportional to 545,848 and 1,184,472 is: 2,570,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,848 : 1,184,472 = 1,184,472 : x
  2. Step 2: Convert to fraction form
    545,848/1,184,472 = 1,184,472/x
  3. Step 3: Cross multiply
    545,848x = 1,184,472 × 1,184,472
  4. Step 4: Simplify right side
    545,848x = 1,402,973,918,784
  5. Step 5: Solve for x
    x = 1,402,973,918,784/545,848
  6. Step 6: Final answer
    x = 2,570,264.83

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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.