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Finding the Third Proportional to 1,680,096 and 3,686,783

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Solution

The third proportional to 1,680,096 and 3,686,783 is: 8,090,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,096 : 3,686,783 = 3,686,783 : x
  2. Step 2: Convert to fraction form
    1,680,096/3,686,783 = 3,686,783/x
  3. Step 3: Cross multiply
    1,680,096x = 3,686,783 × 3,686,783
  4. Step 4: Simplify right side
    1,680,096x = 13,592,368,889,089
  5. Step 5: Solve for x
    x = 13,592,368,889,089/1,680,096
  6. Step 6: Final answer
    x = 8,090,233.47

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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.