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Finding the Third Proportional to 468,784 and 993,440

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Solution

The third proportional to 468,784 and 993,440 is: 2,105,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,784 : 993,440 = 993,440 : x
  2. Step 2: Convert to fraction form
    468,784/993,440 = 993,440/x
  3. Step 3: Cross multiply
    468,784x = 993,440 × 993,440
  4. Step 4: Simplify right side
    468,784x = 986,923,033,600
  5. Step 5: Solve for x
    x = 986,923,033,600/468,784
  6. Step 6: Final answer
    x = 2,105,283.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.