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Finding the Third Proportional to 996,952 and 2,162,168

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Solution

The third proportional to 996,952 and 2,162,168 is: 4,689,263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,952 : 2,162,168 = 2,162,168 : x
  2. Step 2: Convert to fraction form
    996,952/2,162,168 = 2,162,168/x
  3. Step 3: Cross multiply
    996,952x = 2,162,168 × 2,162,168
  4. Step 4: Simplify right side
    996,952x = 4,674,970,460,224
  5. Step 5: Solve for x
    x = 4,674,970,460,224/996,952
  6. Step 6: Final answer
    x = 4,689,263.33

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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.