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Finding the Third Proportional to 973,304 and 2,081,116

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Solution

The third proportional to 973,304 and 2,081,116 is: 4,449,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,304 : 2,081,116 = 2,081,116 : x
  2. Step 2: Convert to fraction form
    973,304/2,081,116 = 2,081,116/x
  3. Step 3: Cross multiply
    973,304x = 2,081,116 × 2,081,116
  4. Step 4: Simplify right side
    973,304x = 4,331,043,805,456
  5. Step 5: Solve for x
    x = 4,331,043,805,456/973,304
  6. Step 6: Final answer
    x = 4,449,836.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.