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Finding the Third Proportional to 1,645,146 and 2,241,231

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Solution

The third proportional to 1,645,146 and 2,241,231 is: 3,053,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,146 : 2,241,231 = 2,241,231 : x
  2. Step 2: Convert to fraction form
    1,645,146/2,241,231 = 2,241,231/x
  3. Step 3: Cross multiply
    1,645,146x = 2,241,231 × 2,241,231
  4. Step 4: Simplify right side
    1,645,146x = 5,023,116,395,361
  5. Step 5: Solve for x
    x = 5,023,116,395,361/1,645,146
  6. Step 6: Final answer
    x = 3,053,295.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.