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Finding the Third Proportional to 412,174 and 868,630

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Solution

The third proportional to 412,174 and 868,630 is: 1,830,581.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,174 : 868,630 = 868,630 : x
  2. Step 2: Convert to fraction form
    412,174/868,630 = 868,630/x
  3. Step 3: Cross multiply
    412,174x = 868,630 × 868,630
  4. Step 4: Simplify right side
    412,174x = 754,518,076,900
  5. Step 5: Solve for x
    x = 754,518,076,900/412,174
  6. Step 6: Final answer
    x = 1,830,581.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.