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Finding the Third Proportional to 434,163 and 925,674

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Solution

The third proportional to 434,163 and 925,674 is: 1,973,619.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,163 : 925,674 = 925,674 : x
  2. Step 2: Convert to fraction form
    434,163/925,674 = 925,674/x
  3. Step 3: Cross multiply
    434,163x = 925,674 × 925,674
  4. Step 4: Simplify right side
    434,163x = 856,872,354,276
  5. Step 5: Solve for x
    x = 856,872,354,276/434,163
  6. Step 6: Final answer
    x = 1,973,619.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.