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Finding the Third Proportional to 619,058 and 1,312,612

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Solution

The third proportional to 619,058 and 1,312,612 is: 2,783,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,058 : 1,312,612 = 1,312,612 : x
  2. Step 2: Convert to fraction form
    619,058/1,312,612 = 1,312,612/x
  3. Step 3: Cross multiply
    619,058x = 1,312,612 × 1,312,612
  4. Step 4: Simplify right side
    619,058x = 1,722,950,262,544
  5. Step 5: Solve for x
    x = 1,722,950,262,544/619,058
  6. Step 6: Final answer
    x = 2,783,180.68

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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.