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Finding the Third Proportional to 648,893 and 967,963

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Solution

The third proportional to 648,893 and 967,963 is: 1,443,924.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,893 : 967,963 = 967,963 : x
  2. Step 2: Convert to fraction form
    648,893/967,963 = 967,963/x
  3. Step 3: Cross multiply
    648,893x = 967,963 × 967,963
  4. Step 4: Simplify right side
    648,893x = 936,952,369,369
  5. Step 5: Solve for x
    x = 936,952,369,369/648,893
  6. Step 6: Final answer
    x = 1,443,924.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.