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Finding the Third Proportional to 683,520 and 1,468,224

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Solution

The third proportional to 683,520 and 1,468,224 is: 3,153,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,520 : 1,468,224 = 1,468,224 : x
  2. Step 2: Convert to fraction form
    683,520/1,468,224 = 1,468,224/x
  3. Step 3: Cross multiply
    683,520x = 1,468,224 × 1,468,224
  4. Step 4: Simplify right side
    683,520x = 2,155,681,714,176
  5. Step 5: Solve for x
    x = 2,155,681,714,176/683,520
  6. Step 6: Final answer
    x = 3,153,794.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.