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Finding the Third Proportional to 500,570 and 1,079,380

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Solution

The third proportional to 500,570 and 1,079,380 is: 2,327,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,570 : 1,079,380 = 1,079,380 : x
  2. Step 2: Convert to fraction form
    500,570/1,079,380 = 1,079,380/x
  3. Step 3: Cross multiply
    500,570x = 1,079,380 × 1,079,380
  4. Step 4: Simplify right side
    500,570x = 1,165,061,184,400
  5. Step 5: Solve for x
    x = 1,165,061,184,400/500,570
  6. Step 6: Final answer
    x = 2,327,469.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.