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Finding the Third Proportional to 446,841 and 973,973

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Solution

The third proportional to 446,841 and 973,973 is: 2,122,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,841 : 973,973 = 973,973 : x
  2. Step 2: Convert to fraction form
    446,841/973,973 = 973,973/x
  3. Step 3: Cross multiply
    446,841x = 973,973 × 973,973
  4. Step 4: Simplify right side
    446,841x = 948,623,404,729
  5. Step 5: Solve for x
    x = 948,623,404,729/446,841
  6. Step 6: Final answer
    x = 2,122,955.16

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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.