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Finding the Third Proportional to 459,217 and 973,063

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Solution

The third proportional to 459,217 and 973,063 is: 2,061,882.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,217 : 973,063 = 973,063 : x
  2. Step 2: Convert to fraction form
    459,217/973,063 = 973,063/x
  3. Step 3: Cross multiply
    459,217x = 973,063 × 973,063
  4. Step 4: Simplify right side
    459,217x = 946,851,601,969
  5. Step 5: Solve for x
    x = 946,851,601,969/459,217
  6. Step 6: Final answer
    x = 2,061,882.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.