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Finding the Third Proportional to 2,293,690 and 3,643,287

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Solution

The third proportional to 2,293,690 and 3,643,287 is: 5,786,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293,690 : 3,643,287 = 3,643,287 : x
  2. Step 2: Convert to fraction form
    2,293,690/3,643,287 = 3,643,287/x
  3. Step 3: Cross multiply
    2,293,690x = 3,643,287 × 3,643,287
  4. Step 4: Simplify right side
    2,293,690x = 13,273,540,164,369
  5. Step 5: Solve for x
    x = 13,273,540,164,369/2,293,690
  6. Step 6: Final answer
    x = 5,786,980.88

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.