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Finding the Third Proportional to 545,602 and 1,184,516

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Solution

The third proportional to 545,602 and 1,184,516 is: 2,571,614.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,602 : 1,184,516 = 1,184,516 : x
  2. Step 2: Convert to fraction form
    545,602/1,184,516 = 1,184,516/x
  3. Step 3: Cross multiply
    545,602x = 1,184,516 × 1,184,516
  4. Step 4: Simplify right side
    545,602x = 1,403,078,154,256
  5. Step 5: Solve for x
    x = 1,403,078,154,256/545,602
  6. Step 6: Final answer
    x = 2,571,614.76

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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.