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Finding the Third Proportional to 980,493.75 and 1,433,108.25

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Solution

The third proportional to 980,493.75 and 1,433,108.25 is: 2,094,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,493.75 : 1,433,108.25 = 1,433,108.25 : x
  2. Step 2: Convert to fraction form
    980,493.75/1,433,108.25 = 1,433,108.25/x
  3. Step 3: Cross multiply
    980,493.75x = 1,433,108.25 × 1,433,108.25
  4. Step 4: Simplify right side
    980,493.75x = 2,053,799,256,218.06
  5. Step 5: Solve for x
    x = 2,053,799,256,218.06/980,493.75
  6. Step 6: Final answer
    x = 2,094,658.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.