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Finding the Third Proportional to 593,646 and 1,320,168

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Solution

The third proportional to 593,646 and 1,320,168 is: 2,935,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,646 : 1,320,168 = 1,320,168 : x
  2. Step 2: Convert to fraction form
    593,646/1,320,168 = 1,320,168/x
  3. Step 3: Cross multiply
    593,646x = 1,320,168 × 1,320,168
  4. Step 4: Simplify right side
    593,646x = 1,742,843,548,224
  5. Step 5: Solve for x
    x = 1,742,843,548,224/593,646
  6. Step 6: Final answer
    x = 2,935,829.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.