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Finding the Third Proportional to 1,729,714 and 3,785,223

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Solution

The third proportional to 1,729,714 and 3,785,223 is: 8,283,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,714 : 3,785,223 = 3,785,223 : x
  2. Step 2: Convert to fraction form
    1,729,714/3,785,223 = 3,785,223/x
  3. Step 3: Cross multiply
    1,729,714x = 3,785,223 × 3,785,223
  4. Step 4: Simplify right side
    1,729,714x = 14,327,913,159,729
  5. Step 5: Solve for x
    x = 14,327,913,159,729/1,729,714
  6. Step 6: Final answer
    x = 8,283,400.12

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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.