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Finding the Third Proportional to 1,653,981 and 3,561,398

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Solution

The third proportional to 1,653,981 and 3,561,398 is: 7,668,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,653,981 : 3,561,398 = 3,561,398 : x
  2. Step 2: Convert to fraction form
    1,653,981/3,561,398 = 3,561,398/x
  3. Step 3: Cross multiply
    1,653,981x = 3,561,398 × 3,561,398
  4. Step 4: Simplify right side
    1,653,981x = 12,683,555,714,404
  5. Step 5: Solve for x
    x = 12,683,555,714,404/1,653,981
  6. Step 6: Final answer
    x = 7,668,501.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.