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Finding the Third Proportional to 506,711 and 1,101,037

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Solution

The third proportional to 506,711 and 1,101,037 is: 2,392,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,711 : 1,101,037 = 1,101,037 : x
  2. Step 2: Convert to fraction form
    506,711/1,101,037 = 1,101,037/x
  3. Step 3: Cross multiply
    506,711x = 1,101,037 × 1,101,037
  4. Step 4: Simplify right side
    506,711x = 1,212,282,475,369
  5. Step 5: Solve for x
    x = 1,212,282,475,369/506,711
  6. Step 6: Final answer
    x = 2,392,453.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.