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Finding the Third Proportional to 1,828,194 and 3,961,488

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Solution

The third proportional to 1,828,194 and 3,961,488 is: 8,584,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828,194 : 3,961,488 = 3,961,488 : x
  2. Step 2: Convert to fraction form
    1,828,194/3,961,488 = 3,961,488/x
  3. Step 3: Cross multiply
    1,828,194x = 3,961,488 × 3,961,488
  4. Step 4: Simplify right side
    1,828,194x = 15,693,387,174,144
  5. Step 5: Solve for x
    x = 15,693,387,174,144/1,828,194
  6. Step 6: Final answer
    x = 8,584,092.92

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.