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Finding the Third Proportional to 443,126 and 969,196

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Solution

The third proportional to 443,126 and 969,196 is: 2,119,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,126 : 969,196 = 969,196 : x
  2. Step 2: Convert to fraction form
    443,126/969,196 = 969,196/x
  3. Step 3: Cross multiply
    443,126x = 969,196 × 969,196
  4. Step 4: Simplify right side
    443,126x = 939,340,886,416
  5. Step 5: Solve for x
    x = 939,340,886,416/443,126
  6. Step 6: Final answer
    x = 2,119,805.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.