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Finding the Third Proportional to 653,424 and 1,334,496

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Solution

The third proportional to 653,424 and 1,334,496 is: 2,725,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,424 : 1,334,496 = 1,334,496 : x
  2. Step 2: Convert to fraction form
    653,424/1,334,496 = 1,334,496/x
  3. Step 3: Cross multiply
    653,424x = 1,334,496 × 1,334,496
  4. Step 4: Simplify right side
    653,424x = 1,780,879,574,016
  5. Step 5: Solve for x
    x = 1,780,879,574,016/653,424
  6. Step 6: Final answer
    x = 2,725,457.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.