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Finding the Third Proportional to 595,781 and 1,276,846

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Solution

The third proportional to 595,781 and 1,276,846 is: 2,736,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,781 : 1,276,846 = 1,276,846 : x
  2. Step 2: Convert to fraction form
    595,781/1,276,846 = 1,276,846/x
  3. Step 3: Cross multiply
    595,781x = 1,276,846 × 1,276,846
  4. Step 4: Simplify right side
    595,781x = 1,630,335,707,716
  5. Step 5: Solve for x
    x = 1,630,335,707,716/595,781
  6. Step 6: Final answer
    x = 2,736,468.11

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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.