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Finding the Third Proportional to 960,255 and 2,097,684

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Solution

The third proportional to 960,255 and 2,097,684 is: 4,582,405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,255 : 2,097,684 = 2,097,684 : x
  2. Step 2: Convert to fraction form
    960,255/2,097,684 = 2,097,684/x
  3. Step 3: Cross multiply
    960,255x = 2,097,684 × 2,097,684
  4. Step 4: Simplify right side
    960,255x = 4,400,278,163,856
  5. Step 5: Solve for x
    x = 4,400,278,163,856/960,255
  6. Step 6: Final answer
    x = 4,582,405.89

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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.