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Finding the Third Proportional to 766,163 and 1,554,214

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Solution

The third proportional to 766,163 and 1,554,214 is: 3,152,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,163 : 1,554,214 = 1,554,214 : x
  2. Step 2: Convert to fraction form
    766,163/1,554,214 = 1,554,214/x
  3. Step 3: Cross multiply
    766,163x = 1,554,214 × 1,554,214
  4. Step 4: Simplify right side
    766,163x = 2,415,581,157,796
  5. Step 5: Solve for x
    x = 2,415,581,157,796/766,163
  6. Step 6: Final answer
    x = 3,152,829.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.