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Finding the Third Proportional to 593,768 and 1,294,100

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Solution

The third proportional to 593,768 and 1,294,100 is: 2,820,453.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,768 : 1,294,100 = 1,294,100 : x
  2. Step 2: Convert to fraction form
    593,768/1,294,100 = 1,294,100/x
  3. Step 3: Cross multiply
    593,768x = 1,294,100 × 1,294,100
  4. Step 4: Simplify right side
    593,768x = 1,674,694,810,000
  5. Step 5: Solve for x
    x = 1,674,694,810,000/593,768
  6. Step 6: Final answer
    x = 2,820,453.12

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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.