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Finding the Third Proportional to 1,680,496 and 3,687,536

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Solution

The third proportional to 1,680,496 and 3,687,536 is: 8,091,612.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,496 : 3,687,536 = 3,687,536 : x
  2. Step 2: Convert to fraction form
    1,680,496/3,687,536 = 3,687,536/x
  3. Step 3: Cross multiply
    1,680,496x = 3,687,536 × 3,687,536
  4. Step 4: Simplify right side
    1,680,496x = 13,597,921,751,296
  5. Step 5: Solve for x
    x = 13,597,921,751,296/1,680,496
  6. Step 6: Final answer
    x = 8,091,612.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.