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Finding the Third Proportional to 624,134 and 913,982

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Solution

The third proportional to 624,134 and 913,982 is: 1,338,435.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,134 : 913,982 = 913,982 : x
  2. Step 2: Convert to fraction form
    624,134/913,982 = 913,982/x
  3. Step 3: Cross multiply
    624,134x = 913,982 × 913,982
  4. Step 4: Simplify right side
    624,134x = 835,363,096,324
  5. Step 5: Solve for x
    x = 835,363,096,324/624,134
  6. Step 6: Final answer
    x = 1,338,435.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.