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Finding the Third Proportional to 434,196 and 934,488

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Solution

The third proportional to 434,196 and 934,488 is: 2,011,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,196 : 934,488 = 934,488 : x
  2. Step 2: Convert to fraction form
    434,196/934,488 = 934,488/x
  3. Step 3: Cross multiply
    434,196x = 934,488 × 934,488
  4. Step 4: Simplify right side
    434,196x = 873,267,822,144
  5. Step 5: Solve for x
    x = 873,267,822,144/434,196
  6. Step 6: Final answer
    x = 2,011,229.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.