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Finding the Third Proportional to 741,348 and 1,618,634

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Solution

The third proportional to 741,348 and 1,618,634 is: 3,534,070.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,348 : 1,618,634 = 1,618,634 : x
  2. Step 2: Convert to fraction form
    741,348/1,618,634 = 1,618,634/x
  3. Step 3: Cross multiply
    741,348x = 1,618,634 × 1,618,634
  4. Step 4: Simplify right side
    741,348x = 2,619,976,025,956
  5. Step 5: Solve for x
    x = 2,619,976,025,956/741,348
  6. Step 6: Final answer
    x = 3,534,070.40

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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.