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Finding the Third Proportional to 545,598 and 1,184,508

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Solution

The third proportional to 545,598 and 1,184,508 is: 2,571,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,598 : 1,184,508 = 1,184,508 : x
  2. Step 2: Convert to fraction form
    545,598/1,184,508 = 1,184,508/x
  3. Step 3: Cross multiply
    545,598x = 1,184,508 × 1,184,508
  4. Step 4: Simplify right side
    545,598x = 1,403,059,202,064
  5. Step 5: Solve for x
    x = 1,403,059,202,064/545,598
  6. Step 6: Final answer
    x = 2,571,598.87

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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.