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Finding the Third Proportional to 815,477.63 and 1,765,353.23

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Solution

The third proportional to 815,477.63 and 1,765,353.23 is: 3,821,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,477.63 : 1,765,353.23 = 1,765,353.23 : x
  2. Step 2: Convert to fraction form
    815,477.63/1,765,353.23 = 1,765,353.23/x
  3. Step 3: Cross multiply
    815,477.63x = 1,765,353.23 × 1,765,353.23
  4. Step 4: Simplify right side
    815,477.63x = 3,116,472,042,118.27
  5. Step 5: Solve for x
    x = 3,116,472,042,118.27/815,477.63
  6. Step 6: Final answer
    x = 3,821,652.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.