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Finding the Third Proportional to 446,748 and 973,821

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Solution

The third proportional to 446,748 and 973,821 is: 2,122,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,748 : 973,821 = 973,821 : x
  2. Step 2: Convert to fraction form
    446,748/973,821 = 973,821/x
  3. Step 3: Cross multiply
    446,748x = 973,821 × 973,821
  4. Step 4: Simplify right side
    446,748x = 948,327,340,041
  5. Step 5: Solve for x
    x = 948,327,340,041/446,748
  6. Step 6: Final answer
    x = 2,122,734.38

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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.