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Finding the Third Proportional to 517,314 and 1,130,820

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Solution

The third proportional to 517,314 and 1,130,820 is: 2,471,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,314 : 1,130,820 = 1,130,820 : x
  2. Step 2: Convert to fraction form
    517,314/1,130,820 = 1,130,820/x
  3. Step 3: Cross multiply
    517,314x = 1,130,820 × 1,130,820
  4. Step 4: Simplify right side
    517,314x = 1,278,753,872,400
  5. Step 5: Solve for x
    x = 1,278,753,872,400/517,314
  6. Step 6: Final answer
    x = 2,471,910.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.