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Finding the Third Proportional to 2,004,814 and 2,896,610

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Solution

The third proportional to 2,004,814 and 2,896,610 is: 4,185,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,814 : 2,896,610 = 2,896,610 : x
  2. Step 2: Convert to fraction form
    2,004,814/2,896,610 = 2,896,610/x
  3. Step 3: Cross multiply
    2,004,814x = 2,896,610 × 2,896,610
  4. Step 4: Simplify right side
    2,004,814x = 8,390,349,492,100
  5. Step 5: Solve for x
    x = 8,390,349,492,100/2,004,814
  6. Step 6: Final answer
    x = 4,185,101.21

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.