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Finding the Third Proportional to 504,779 and 1,079,596

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Solution

The third proportional to 504,779 and 1,079,596 is: 2,308,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,779 : 1,079,596 = 1,079,596 : x
  2. Step 2: Convert to fraction form
    504,779/1,079,596 = 1,079,596/x
  3. Step 3: Cross multiply
    504,779x = 1,079,596 × 1,079,596
  4. Step 4: Simplify right side
    504,779x = 1,165,527,523,216
  5. Step 5: Solve for x
    x = 1,165,527,523,216/504,779
  6. Step 6: Final answer
    x = 2,308,985.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.