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Finding the Third Proportional to 627,372 and 946,944

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Solution

The third proportional to 627,372 and 946,944 is: 1,429,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,372 : 946,944 = 946,944 : x
  2. Step 2: Convert to fraction form
    627,372/946,944 = 946,944/x
  3. Step 3: Cross multiply
    627,372x = 946,944 × 946,944
  4. Step 4: Simplify right side
    627,372x = 896,702,939,136
  5. Step 5: Solve for x
    x = 896,702,939,136/627,372
  6. Step 6: Final answer
    x = 1,429,300.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.