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Finding the Third Proportional to 446,633 and 973,438

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Solution

The third proportional to 446,633 and 973,438 is: 2,121,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,633 : 973,438 = 973,438 : x
  2. Step 2: Convert to fraction form
    446,633/973,438 = 973,438/x
  3. Step 3: Cross multiply
    446,633x = 973,438 × 973,438
  4. Step 4: Simplify right side
    446,633x = 947,581,539,844
  5. Step 5: Solve for x
    x = 947,581,539,844/446,633
  6. Step 6: Final answer
    x = 2,121,611.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.