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Finding the Third Proportional to 446,848 and 973,988

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Solution

The third proportional to 446,848 and 973,988 is: 2,122,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,848 : 973,988 = 973,988 : x
  2. Step 2: Convert to fraction form
    446,848/973,988 = 973,988/x
  3. Step 3: Cross multiply
    446,848x = 973,988 × 973,988
  4. Step 4: Simplify right side
    446,848x = 948,652,624,144
  5. Step 5: Solve for x
    x = 948,652,624,144/446,848
  6. Step 6: Final answer
    x = 2,122,987.29

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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.