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Finding the Third Proportional to 626,371 and 968,336

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Solution

The third proportional to 626,371 and 968,336 is: 1,496,995.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,371 : 968,336 = 968,336 : x
  2. Step 2: Convert to fraction form
    626,371/968,336 = 968,336/x
  3. Step 3: Cross multiply
    626,371x = 968,336 × 968,336
  4. Step 4: Simplify right side
    626,371x = 937,674,608,896
  5. Step 5: Solve for x
    x = 937,674,608,896/626,371
  6. Step 6: Final answer
    x = 1,496,995.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.