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Finding the Third Proportional to 545,877 and 1,184,524.50

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Solution

The third proportional to 545,877 and 1,184,524.50 is: 2,570,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,877 : 1,184,524.50 = 1,184,524.50 : x
  2. Step 2: Convert to fraction form
    545,877/1,184,524.50 = 1,184,524.50/x
  3. Step 3: Cross multiply
    545,877x = 1,184,524.50 × 1,184,524.50
  4. Step 4: Simplify right side
    545,877x = 1,403,098,291,100.25
  5. Step 5: Solve for x
    x = 1,403,098,291,100.25/545,877
  6. Step 6: Final answer
    x = 2,570,356.13

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