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Finding the Third Proportional to 1,257,734.25 and 2,714,622.75

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Solution

The third proportional to 1,257,734.25 and 2,714,622.75 is: 5,859,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,734.25 : 2,714,622.75 = 2,714,622.75 : x
  2. Step 2: Convert to fraction form
    1,257,734.25/2,714,622.75 = 2,714,622.75/x
  3. Step 3: Cross multiply
    1,257,734.25x = 2,714,622.75 × 2,714,622.75
  4. Step 4: Simplify right side
    1,257,734.25x = 7,369,176,674,817.56
  5. Step 5: Solve for x
    x = 7,369,176,674,817.56/1,257,734.25
  6. Step 6: Final answer
    x = 5,859,088.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.