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Finding the Third Proportional to 480,740.06 and 1,025,837.16

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Solution

The third proportional to 480,740.06 and 1,025,837.16 is: 2,189,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,740.06 : 1,025,837.16 = 1,025,837.16 : x
  2. Step 2: Convert to fraction form
    480,740.06/1,025,837.16 = 1,025,837.16/x
  3. Step 3: Cross multiply
    480,740.06x = 1,025,837.16 × 1,025,837.16
  4. Step 4: Simplify right side
    480,740.06x = 1,052,341,871,143.09
  5. Step 5: Solve for x
    x = 1,052,341,871,143.09/480,740.06
  6. Step 6: Final answer
    x = 2,189,003.90

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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.