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Finding the Third Proportional to 854,755.31 and 1,828,094.63

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Solution

The third proportional to 854,755.31 and 1,828,094.63 is: 3,909,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,755.31 : 1,828,094.63 = 1,828,094.63 : x
  2. Step 2: Convert to fraction form
    854,755.31/1,828,094.63 = 1,828,094.63/x
  3. Step 3: Cross multiply
    854,755.31x = 1,828,094.63 × 1,828,094.63
  4. Step 4: Simplify right side
    854,755.31x = 3,341,929,957,953.89
  5. Step 5: Solve for x
    x = 3,341,929,957,953.89/854,755.31
  6. Step 6: Final answer
    x = 3,909,808.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.