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Finding the Third Proportional to 558,632 and 1,184,295

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Solution

The third proportional to 558,632 and 1,184,295 is: 2,510,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,632 : 1,184,295 = 1,184,295 : x
  2. Step 2: Convert to fraction form
    558,632/1,184,295 = 1,184,295/x
  3. Step 3: Cross multiply
    558,632x = 1,184,295 × 1,184,295
  4. Step 4: Simplify right side
    558,632x = 1,402,554,647,025
  5. Step 5: Solve for x
    x = 1,402,554,647,025/558,632
  6. Step 6: Final answer
    x = 2,510,695.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.