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Finding the Third Proportional to 480,742.50 and 1,025,841.75

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Solution

The third proportional to 480,742.50 and 1,025,841.75 is: 2,189,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,742.50 : 1,025,841.75 = 1,025,841.75 : x
  2. Step 2: Convert to fraction form
    480,742.50/1,025,841.75 = 1,025,841.75/x
  3. Step 3: Cross multiply
    480,742.50x = 1,025,841.75 × 1,025,841.75
  4. Step 4: Simplify right side
    480,742.50x = 1,052,351,296,043.06
  5. Step 5: Solve for x
    x = 1,052,351,296,043.06/480,742.50
  6. Step 6: Final answer
    x = 2,189,012.40

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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.