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Finding the Third Proportional to 2,146,194 and 2,904,363

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Solution

The third proportional to 2,146,194 and 2,904,363 is: 3,930,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146,194 : 2,904,363 = 2,904,363 : x
  2. Step 2: Convert to fraction form
    2,146,194/2,904,363 = 2,904,363/x
  3. Step 3: Cross multiply
    2,146,194x = 2,904,363 × 2,904,363
  4. Step 4: Simplify right side
    2,146,194x = 8,435,324,435,769
  5. Step 5: Solve for x
    x = 8,435,324,435,769/2,146,194
  6. Step 6: Final answer
    x = 3,930,364.37

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.