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Finding the Third Proportional to 1,680,024 and 3,686,664

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Solution

The third proportional to 1,680,024 and 3,686,664 is: 8,090,057.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,024 : 3,686,664 = 3,686,664 : x
  2. Step 2: Convert to fraction form
    1,680,024/3,686,664 = 3,686,664/x
  3. Step 3: Cross multiply
    1,680,024x = 3,686,664 × 3,686,664
  4. Step 4: Simplify right side
    1,680,024x = 13,591,491,448,896
  5. Step 5: Solve for x
    x = 13,591,491,448,896/1,680,024
  6. Step 6: Final answer
    x = 8,090,057.91

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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.