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Finding the Third Proportional to 3,118,298 and 4,664,724

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Solution

The third proportional to 3,118,298 and 4,664,724 is: 6,978,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118,298 : 4,664,724 = 4,664,724 : x
  2. Step 2: Convert to fraction form
    3,118,298/4,664,724 = 4,664,724/x
  3. Step 3: Cross multiply
    3,118,298x = 4,664,724 × 4,664,724
  4. Step 4: Simplify right side
    3,118,298x = 21,759,649,996,176
  5. Step 5: Solve for x
    x = 21,759,649,996,176/3,118,298
  6. Step 6: Final answer
    x = 6,978,053.41

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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.