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Finding the Third Proportional to 1,058,004 and 2,351,448

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Solution

The third proportional to 1,058,004 and 2,351,448 is: 5,226,168.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,004 : 2,351,448 = 2,351,448 : x
  2. Step 2: Convert to fraction form
    1,058,004/2,351,448 = 2,351,448/x
  3. Step 3: Cross multiply
    1,058,004x = 2,351,448 × 2,351,448
  4. Step 4: Simplify right side
    1,058,004x = 5,529,307,696,704
  5. Step 5: Solve for x
    x = 5,529,307,696,704/1,058,004
  6. Step 6: Final answer
    x = 5,226,168.99

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.