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Finding the Third Proportional to 448,848 and 973,996

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Solution

The third proportional to 448,848 and 973,996 is: 2,113,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,848 : 973,996 = 973,996 : x
  2. Step 2: Convert to fraction form
    448,848/973,996 = 973,996/x
  3. Step 3: Cross multiply
    448,848x = 973,996 × 973,996
  4. Step 4: Simplify right side
    448,848x = 948,668,208,016
  5. Step 5: Solve for x
    x = 948,668,208,016/448,848
  6. Step 6: Final answer
    x = 2,113,562.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.