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Finding the Third Proportional to 494,294 and 1,079,196

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Solution

The third proportional to 494,294 and 1,079,196 is: 2,356,217.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,294 : 1,079,196 = 1,079,196 : x
  2. Step 2: Convert to fraction form
    494,294/1,079,196 = 1,079,196/x
  3. Step 3: Cross multiply
    494,294x = 1,079,196 × 1,079,196
  4. Step 4: Simplify right side
    494,294x = 1,164,664,006,416
  5. Step 5: Solve for x
    x = 1,164,664,006,416/494,294
  6. Step 6: Final answer
    x = 2,356,217.16

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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.