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Finding the Third Proportional to 519,294 and 1,079,865

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Solution

The third proportional to 519,294 and 1,079,865 is: 2,245,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,294 : 1,079,865 = 1,079,865 : x
  2. Step 2: Convert to fraction form
    519,294/1,079,865 = 1,079,865/x
  3. Step 3: Cross multiply
    519,294x = 1,079,865 × 1,079,865
  4. Step 4: Simplify right side
    519,294x = 1,166,108,418,225
  5. Step 5: Solve for x
    x = 1,166,108,418,225/519,294
  6. Step 6: Final answer
    x = 2,245,564.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.