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Finding the Third Proportional to 2,617,830 and 3,840,561

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Solution

The third proportional to 2,617,830 and 3,840,561 is: 5,634,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617,830 : 3,840,561 = 3,840,561 : x
  2. Step 2: Convert to fraction form
    2,617,830/3,840,561 = 3,840,561/x
  3. Step 3: Cross multiply
    2,617,830x = 3,840,561 × 3,840,561
  4. Step 4: Simplify right side
    2,617,830x = 14,749,908,794,721
  5. Step 5: Solve for x
    x = 14,749,908,794,721/2,617,830
  6. Step 6: Final answer
    x = 5,634,402.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.