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Finding the Third Proportional to 459,241 and 973,114

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Solution

The third proportional to 459,241 and 973,114 is: 2,061,991.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,241 : 973,114 = 973,114 : x
  2. Step 2: Convert to fraction form
    459,241/973,114 = 973,114/x
  3. Step 3: Cross multiply
    459,241x = 973,114 × 973,114
  4. Step 4: Simplify right side
    459,241x = 946,950,856,996
  5. Step 5: Solve for x
    x = 946,950,856,996/459,241
  6. Step 6: Final answer
    x = 2,061,991.10

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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.