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Finding the Third Proportional to 389,649 and 839,490

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Solution

The third proportional to 389,649 and 839,490 is: 1,808,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,649 : 839,490 = 839,490 : x
  2. Step 2: Convert to fraction form
    389,649/839,490 = 839,490/x
  3. Step 3: Cross multiply
    389,649x = 839,490 × 839,490
  4. Step 4: Simplify right side
    389,649x = 704,743,460,100
  5. Step 5: Solve for x
    x = 704,743,460,100/389,649
  6. Step 6: Final answer
    x = 1,808,662.31

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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.