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Finding the Third Proportional to 459,189 and 973,012.50

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Solution

The third proportional to 459,189 and 973,012.50 is: 2,061,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,189 : 973,012.50 = 973,012.50 : x
  2. Step 2: Convert to fraction form
    459,189/973,012.50 = 973,012.50/x
  3. Step 3: Cross multiply
    459,189x = 973,012.50 × 973,012.50
  4. Step 4: Simplify right side
    459,189x = 946,753,325,156.25
  5. Step 5: Solve for x
    x = 946,753,325,156.25/459,189
  6. Step 6: Final answer
    x = 2,061,794.44

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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.