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Finding the Third Proportional to 1,680,098 and 3,686,785

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Solution

The third proportional to 1,680,098 and 3,686,785 is: 8,090,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,098 : 3,686,785 = 3,686,785 : x
  2. Step 2: Convert to fraction form
    1,680,098/3,686,785 = 3,686,785/x
  3. Step 3: Cross multiply
    1,680,098x = 3,686,785 × 3,686,785
  4. Step 4: Simplify right side
    1,680,098x = 13,592,383,636,225
  5. Step 5: Solve for x
    x = 13,592,383,636,225/1,680,098
  6. Step 6: Final answer
    x = 8,090,232.62

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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.