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Finding the Third Proportional to 1,714,223 and 3,686,431

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Solution

The third proportional to 1,714,223 and 3,686,431 is: 7,927,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,223 : 3,686,431 = 3,686,431 : x
  2. Step 2: Convert to fraction form
    1,714,223/3,686,431 = 3,686,431/x
  3. Step 3: Cross multiply
    1,714,223x = 3,686,431 × 3,686,431
  4. Step 4: Simplify right side
    1,714,223x = 13,589,773,517,761
  5. Step 5: Solve for x
    x = 13,589,773,517,761/1,714,223
  6. Step 6: Final answer
    x = 7,927,657.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.