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Finding the Third Proportional to 593,919 and 1,295,040

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Solution

The third proportional to 593,919 and 1,295,040 is: 2,823,833.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,919 : 1,295,040 = 1,295,040 : x
  2. Step 2: Convert to fraction form
    593,919/1,295,040 = 1,295,040/x
  3. Step 3: Cross multiply
    593,919x = 1,295,040 × 1,295,040
  4. Step 4: Simplify right side
    593,919x = 1,677,128,601,600
  5. Step 5: Solve for x
    x = 1,677,128,601,600/593,919
  6. Step 6: Final answer
    x = 2,823,833.89

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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.