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Finding the Third Proportional to 815,913 and 1,776,991.50

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Solution

The third proportional to 815,913 and 1,776,991.50 is: 3,870,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,913 : 1,776,991.50 = 1,776,991.50 : x
  2. Step 2: Convert to fraction form
    815,913/1,776,991.50 = 1,776,991.50/x
  3. Step 3: Cross multiply
    815,913x = 1,776,991.50 × 1,776,991.50
  4. Step 4: Simplify right side
    815,913x = 3,157,698,791,072.25
  5. Step 5: Solve for x
    x = 3,157,698,791,072.25/815,913
  6. Step 6: Final answer
    x = 3,870,141.54

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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.