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Finding the Third Proportional to 593,724 and 1,296,321

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Solution

The third proportional to 593,724 and 1,296,321 is: 2,830,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,724 : 1,296,321 = 1,296,321 : x
  2. Step 2: Convert to fraction form
    593,724/1,296,321 = 1,296,321/x
  3. Step 3: Cross multiply
    593,724x = 1,296,321 × 1,296,321
  4. Step 4: Simplify right side
    593,724x = 1,680,448,135,041
  5. Step 5: Solve for x
    x = 1,680,448,135,041/593,724
  6. Step 6: Final answer
    x = 2,830,352.38

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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.