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Finding the Third Proportional to 997,709.25 and 1,521,473.63

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Solution

The third proportional to 997,709.25 and 1,521,473.63 is: 2,320,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,709.25 : 1,521,473.63 = 1,521,473.63 : x
  2. Step 2: Convert to fraction form
    997,709.25/1,521,473.63 = 1,521,473.63/x
  3. Step 3: Cross multiply
    997,709.25x = 1,521,473.63 × 1,521,473.63
  4. Step 4: Simplify right side
    997,709.25x = 2,314,881,991,570.64
  5. Step 5: Solve for x
    x = 2,314,881,991,570.64/997,709.25
  6. Step 6: Final answer
    x = 2,320,196.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.