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Finding the Third Proportional to 459,228 and 973,086

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Solution

The third proportional to 459,228 and 973,086 is: 2,061,930.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,228 : 973,086 = 973,086 : x
  2. Step 2: Convert to fraction form
    459,228/973,086 = 973,086/x
  3. Step 3: Cross multiply
    459,228x = 973,086 × 973,086
  4. Step 4: Simplify right side
    459,228x = 946,896,363,396
  5. Step 5: Solve for x
    x = 946,896,363,396/459,228
  6. Step 6: Final answer
    x = 2,061,930.81

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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.