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Finding the Third Proportional to 1,417,804.50 and 3,111,171

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Solution

The third proportional to 1,417,804.50 and 3,111,171 is: 6,827,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417,804.50 : 3,111,171 = 3,111,171 : x
  2. Step 2: Convert to fraction form
    1,417,804.50/3,111,171 = 3,111,171/x
  3. Step 3: Cross multiply
    1,417,804.50x = 3,111,171 × 3,111,171
  4. Step 4: Simplify right side
    1,417,804.50x = 9,679,384,991,241
  5. Step 5: Solve for x
    x = 9,679,384,991,241/1,417,804.50
  6. Step 6: Final answer
    x = 6,827,023.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.