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Finding the Third Proportional to 665,061 and 973,997

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Solution

The third proportional to 665,061 and 973,997 is: 1,426,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,061 : 973,997 = 973,997 : x
  2. Step 2: Convert to fraction form
    665,061/973,997 = 973,997/x
  3. Step 3: Cross multiply
    665,061x = 973,997 × 973,997
  4. Step 4: Simplify right side
    665,061x = 948,670,156,009
  5. Step 5: Solve for x
    x = 948,670,156,009/665,061
  6. Step 6: Final answer
    x = 1,426,440.82

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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.