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Finding the Third Proportional to 431,208 and 917,637

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Solution

The third proportional to 431,208 and 917,637 is: 1,952,787.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,208 : 917,637 = 917,637 : x
  2. Step 2: Convert to fraction form
    431,208/917,637 = 917,637/x
  3. Step 3: Cross multiply
    431,208x = 917,637 × 917,637
  4. Step 4: Simplify right side
    431,208x = 842,057,663,769
  5. Step 5: Solve for x
    x = 842,057,663,769/431,208
  6. Step 6: Final answer
    x = 1,952,787.67

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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.