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Finding the Third Proportional to 454,732 and 990,196

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Solution

The third proportional to 454,732 and 990,196 is: 2,156,188.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,732 : 990,196 = 990,196 : x
  2. Step 2: Convert to fraction form
    454,732/990,196 = 990,196/x
  3. Step 3: Cross multiply
    454,732x = 990,196 × 990,196
  4. Step 4: Simplify right side
    454,732x = 980,488,118,416
  5. Step 5: Solve for x
    x = 980,488,118,416/454,732
  6. Step 6: Final answer
    x = 2,156,188.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.