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Finding the Third Proportional to 1,376,380 and 3,238,724

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Solution

The third proportional to 1,376,380 and 3,238,724 is: 7,620,957.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,380 : 3,238,724 = 3,238,724 : x
  2. Step 2: Convert to fraction form
    1,376,380/3,238,724 = 3,238,724/x
  3. Step 3: Cross multiply
    1,376,380x = 3,238,724 × 3,238,724
  4. Step 4: Simplify right side
    1,376,380x = 10,489,333,148,176
  5. Step 5: Solve for x
    x = 10,489,333,148,176/1,376,380
  6. Step 6: Final answer
    x = 7,620,957.26

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.