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Finding the Third Proportional to 593,901 and 1,294,999

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Solution

The third proportional to 593,901 and 1,294,999 is: 2,823,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,901 : 1,294,999 = 1,294,999 : x
  2. Step 2: Convert to fraction form
    593,901/1,294,999 = 1,294,999/x
  3. Step 3: Cross multiply
    593,901x = 1,294,999 × 1,294,999
  4. Step 4: Simplify right side
    593,901x = 1,677,022,410,001
  5. Step 5: Solve for x
    x = 1,677,022,410,001/593,901
  6. Step 6: Final answer
    x = 2,823,740.67

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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.