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Finding the Third Proportional to 421,442 and 931,516

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Solution

The third proportional to 421,442 and 931,516 is: 2,058,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,442 : 931,516 = 931,516 : x
  2. Step 2: Convert to fraction form
    421,442/931,516 = 931,516/x
  3. Step 3: Cross multiply
    421,442x = 931,516 × 931,516
  4. Step 4: Simplify right side
    421,442x = 867,722,058,256
  5. Step 5: Solve for x
    x = 867,722,058,256/421,442
  6. Step 6: Final answer
    x = 2,058,935.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.