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Finding the Third Proportional to 2,243,619 and 4,756,410

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Solution

The third proportional to 2,243,619 and 4,756,410 is: 10,083,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,243,619 : 4,756,410 = 4,756,410 : x
  2. Step 2: Convert to fraction form
    2,243,619/4,756,410 = 4,756,410/x
  3. Step 3: Cross multiply
    2,243,619x = 4,756,410 × 4,756,410
  4. Step 4: Simplify right side
    2,243,619x = 22,623,436,088,100
  5. Step 5: Solve for x
    x = 22,623,436,088,100/2,243,619
  6. Step 6: Final answer
    x = 10,083,457.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.