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Finding the Third Proportional to 854,755 and 1,238,209

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Solution

The third proportional to 854,755 and 1,238,209 is: 1,793,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,755 : 1,238,209 = 1,238,209 : x
  2. Step 2: Convert to fraction form
    854,755/1,238,209 = 1,238,209/x
  3. Step 3: Cross multiply
    854,755x = 1,238,209 × 1,238,209
  4. Step 4: Simplify right side
    854,755x = 1,533,161,527,681
  5. Step 5: Solve for x
    x = 1,533,161,527,681/854,755
  6. Step 6: Final answer
    x = 1,793,685.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.