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Finding the Third Proportional to 593,828 and 1,294,835

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Solution

The third proportional to 593,828 and 1,294,835 is: 2,823,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,828 : 1,294,835 = 1,294,835 : x
  2. Step 2: Convert to fraction form
    593,828/1,294,835 = 1,294,835/x
  3. Step 3: Cross multiply
    593,828x = 1,294,835 × 1,294,835
  4. Step 4: Simplify right side
    593,828x = 1,676,597,677,225
  5. Step 5: Solve for x
    x = 1,676,597,677,225/593,828
  6. Step 6: Final answer
    x = 2,823,372.55

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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.