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Finding the Third Proportional to 1,797,768 and 3,851,413

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Solution

The third proportional to 1,797,768 and 3,851,413 is: 8,250,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797,768 : 3,851,413 = 3,851,413 : x
  2. Step 2: Convert to fraction form
    1,797,768/3,851,413 = 3,851,413/x
  3. Step 3: Cross multiply
    1,797,768x = 3,851,413 × 3,851,413
  4. Step 4: Simplify right side
    1,797,768x = 14,833,382,096,569
  5. Step 5: Solve for x
    x = 14,833,382,096,569/1,797,768
  6. Step 6: Final answer
    x = 8,250,999.07

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