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Finding the Third Proportional to 389,100 and 846,348

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Solution

The third proportional to 389,100 and 846,348 is: 1,840,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,100 : 846,348 = 846,348 : x
  2. Step 2: Convert to fraction form
    389,100/846,348 = 846,348/x
  3. Step 3: Cross multiply
    389,100x = 846,348 × 846,348
  4. Step 4: Simplify right side
    389,100x = 716,304,937,104
  5. Step 5: Solve for x
    x = 716,304,937,104/389,100
  6. Step 6: Final answer
    x = 1,840,927.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.