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Finding the Third Proportional to 468,417 and 973,632.75

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Solution

The third proportional to 468,417 and 973,632.75 is: 2,023,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,417 : 973,632.75 = 973,632.75 : x
  2. Step 2: Convert to fraction form
    468,417/973,632.75 = 973,632.75/x
  3. Step 3: Cross multiply
    468,417x = 973,632.75 × 973,632.75
  4. Step 4: Simplify right side
    468,417x = 947,960,731,872.56
  5. Step 5: Solve for x
    x = 947,960,731,872.56/468,417
  6. Step 6: Final answer
    x = 2,023,753.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.