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Finding the Third Proportional to 2,836,548 and 4,257,724

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Solution

The third proportional to 2,836,548 and 4,257,724 is: 6,390,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836,548 : 4,257,724 = 4,257,724 : x
  2. Step 2: Convert to fraction form
    2,836,548/4,257,724 = 4,257,724/x
  3. Step 3: Cross multiply
    2,836,548x = 4,257,724 × 4,257,724
  4. Step 4: Simplify right side
    2,836,548x = 18,128,213,660,176
  5. Step 5: Solve for x
    x = 18,128,213,660,176/2,836,548
  6. Step 6: Final answer
    x = 6,390,941.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.