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Finding the Third Proportional to 1,971,714 and 4,197,660

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Solution

The third proportional to 1,971,714 and 4,197,660 is: 8,936,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971,714 : 4,197,660 = 4,197,660 : x
  2. Step 2: Convert to fraction form
    1,971,714/4,197,660 = 4,197,660/x
  3. Step 3: Cross multiply
    1,971,714x = 4,197,660 × 4,197,660
  4. Step 4: Simplify right side
    1,971,714x = 17,620,349,475,600
  5. Step 5: Solve for x
    x = 17,620,349,475,600/1,971,714
  6. Step 6: Final answer
    x = 8,936,564.57

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.