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Finding the Third Proportional to 665,059 and 973,994

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Solution

The third proportional to 665,059 and 973,994 is: 1,426,436.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,059 : 973,994 = 973,994 : x
  2. Step 2: Convert to fraction form
    665,059/973,994 = 973,994/x
  3. Step 3: Cross multiply
    665,059x = 973,994 × 973,994
  4. Step 4: Simplify right side
    665,059x = 948,664,312,036
  5. Step 5: Solve for x
    x = 948,664,312,036/665,059
  6. Step 6: Final answer
    x = 1,426,436.32

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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.