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Finding the Third Proportional to 2,411,710 and 5,021,880

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Solution

The third proportional to 2,411,710 and 5,021,880 is: 10,457,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411,710 : 5,021,880 = 5,021,880 : x
  2. Step 2: Convert to fraction form
    2,411,710/5,021,880 = 5,021,880/x
  3. Step 3: Cross multiply
    2,411,710x = 5,021,880 × 5,021,880
  4. Step 4: Simplify right side
    2,411,710x = 25,219,278,734,400
  5. Step 5: Solve for x
    x = 25,219,278,734,400/2,411,710
  6. Step 6: Final answer
    x = 10,457,011.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.