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Finding the Third Proportional to 1,077,540 and 1,690,344

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Solution

The third proportional to 1,077,540 and 1,690,344 is: 2,651,653.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,540 : 1,690,344 = 1,690,344 : x
  2. Step 2: Convert to fraction form
    1,077,540/1,690,344 = 1,690,344/x
  3. Step 3: Cross multiply
    1,077,540x = 1,690,344 × 1,690,344
  4. Step 4: Simplify right side
    1,077,540x = 2,857,262,838,336
  5. Step 5: Solve for x
    x = 2,857,262,838,336/1,077,540
  6. Step 6: Final answer
    x = 2,651,653.62

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.