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Finding the Third Proportional to 480,746.25 and 1,025,849.81

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Solution

The third proportional to 480,746.25 and 1,025,849.81 is: 2,189,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,746.25 : 1,025,849.81 = 1,025,849.81 : x
  2. Step 2: Convert to fraction form
    480,746.25/1,025,849.81 = 1,025,849.81/x
  3. Step 3: Cross multiply
    480,746.25x = 1,025,849.81 × 1,025,849.81
  4. Step 4: Simplify right side
    480,746.25x = 1,052,367,837,806.29
  5. Step 5: Solve for x
    x = 1,052,367,837,806.29/480,746.25
  6. Step 6: Final answer
    x = 2,189,029.74

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Why These Related Problems?

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