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Finding the Third Proportional to 527,874 and 1,173,516

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Solution

The third proportional to 527,874 and 1,173,516 is: 2,608,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,874 : 1,173,516 = 1,173,516 : x
  2. Step 2: Convert to fraction form
    527,874/1,173,516 = 1,173,516/x
  3. Step 3: Cross multiply
    527,874x = 1,173,516 × 1,173,516
  4. Step 4: Simplify right side
    527,874x = 1,377,139,802,256
  5. Step 5: Solve for x
    x = 1,377,139,802,256/527,874
  6. Step 6: Final answer
    x = 2,608,841.89

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.