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Finding the Third Proportional to 405,114 and 873,030

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Solution

The third proportional to 405,114 and 873,030 is: 1,881,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,114 : 873,030 = 873,030 : x
  2. Step 2: Convert to fraction form
    405,114/873,030 = 873,030/x
  3. Step 3: Cross multiply
    405,114x = 873,030 × 873,030
  4. Step 4: Simplify right side
    405,114x = 762,181,380,900
  5. Step 5: Solve for x
    x = 762,181,380,900/405,114
  6. Step 6: Final answer
    x = 1,881,399.76

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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.