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Finding the Third Proportional to 683,126.16 and 1,002,523.08

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Solution

The third proportional to 683,126.16 and 1,002,523.08 is: 1,471,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,126.16 : 1,002,523.08 = 1,002,523.08 : x
  2. Step 2: Convert to fraction form
    683,126.16/1,002,523.08 = 1,002,523.08/x
  3. Step 3: Cross multiply
    683,126.16x = 1,002,523.08 × 1,002,523.08
  4. Step 4: Simplify right side
    683,126.16x = 1,005,052,522,173.22
  5. Step 5: Solve for x
    x = 1,005,052,522,173.22/683,126.16
  6. Step 6: Final answer
    x = 1,471,254.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.