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Finding the Third Proportional to 1,257,695.44 and 2,714,564.81

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Solution

The third proportional to 1,257,695.44 and 2,714,564.81 is: 5,859,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,695.44 : 2,714,564.81 = 2,714,564.81 : x
  2. Step 2: Convert to fraction form
    1,257,695.44/2,714,564.81 = 2,714,564.81/x
  3. Step 3: Cross multiply
    1,257,695.44x = 2,714,564.81 × 2,714,564.81
  4. Step 4: Simplify right side
    1,257,695.44x = 7,368,862,121,263.16
  5. Step 5: Solve for x
    x = 7,368,862,121,263.16/1,257,695.44
  6. Step 6: Final answer
    x = 5,859,019.52

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Why These Related Problems?

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