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Finding the Third Proportional to 643,716 and 973,859

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Solution

The third proportional to 643,716 and 973,859 is: 1,473,322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,716 : 973,859 = 973,859 : x
  2. Step 2: Convert to fraction form
    643,716/973,859 = 973,859/x
  3. Step 3: Cross multiply
    643,716x = 973,859 × 973,859
  4. Step 4: Simplify right side
    643,716x = 948,401,351,881
  5. Step 5: Solve for x
    x = 948,401,351,881/643,716
  6. Step 6: Final answer
    x = 1,473,322.63

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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.