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Finding the Third Proportional to 434,911 and 899,654

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Solution

The third proportional to 434,911 and 899,654 is: 1,861,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,911 : 899,654 = 899,654 : x
  2. Step 2: Convert to fraction form
    434,911/899,654 = 899,654/x
  3. Step 3: Cross multiply
    434,911x = 899,654 × 899,654
  4. Step 4: Simplify right side
    434,911x = 809,377,319,716
  5. Step 5: Solve for x
    x = 809,377,319,716/434,911
  6. Step 6: Final answer
    x = 1,861,018.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.