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Finding the Third Proportional to 425,792 and 929,956

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Solution

The third proportional to 425,792 and 929,956 is: 2,031,081.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,792 : 929,956 = 929,956 : x
  2. Step 2: Convert to fraction form
    425,792/929,956 = 929,956/x
  3. Step 3: Cross multiply
    425,792x = 929,956 × 929,956
  4. Step 4: Simplify right side
    425,792x = 864,818,161,936
  5. Step 5: Solve for x
    x = 864,818,161,936/425,792
  6. Step 6: Final answer
    x = 2,031,081.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.