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Finding the Third Proportional to 961,378 and 1,508,058

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Solution

The third proportional to 961,378 and 1,508,058 is: 2,365,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,378 : 1,508,058 = 1,508,058 : x
  2. Step 2: Convert to fraction form
    961,378/1,508,058 = 1,508,058/x
  3. Step 3: Cross multiply
    961,378x = 1,508,058 × 1,508,058
  4. Step 4: Simplify right side
    961,378x = 2,274,238,931,364
  5. Step 5: Solve for x
    x = 2,274,238,931,364/961,378
  6. Step 6: Final answer
    x = 2,365,603.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.