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Finding the Third Proportional to 593,213 and 1,399,742

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Solution

The third proportional to 593,213 and 1,399,742 is: 3,302,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,213 : 1,399,742 = 1,399,742 : x
  2. Step 2: Convert to fraction form
    593,213/1,399,742 = 1,399,742/x
  3. Step 3: Cross multiply
    593,213x = 1,399,742 × 1,399,742
  4. Step 4: Simplify right side
    593,213x = 1,959,277,666,564
  5. Step 5: Solve for x
    x = 1,959,277,666,564/593,213
  6. Step 6: Final answer
    x = 3,302,823.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.