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Finding the Third Proportional to 934,214 and 2,042,920

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Solution

The third proportional to 934,214 and 2,042,920 is: 4,467,415.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,214 : 2,042,920 = 2,042,920 : x
  2. Step 2: Convert to fraction form
    934,214/2,042,920 = 2,042,920/x
  3. Step 3: Cross multiply
    934,214x = 2,042,920 × 2,042,920
  4. Step 4: Simplify right side
    934,214x = 4,173,522,126,400
  5. Step 5: Solve for x
    x = 4,173,522,126,400/934,214
  6. Step 6: Final answer
    x = 4,467,415.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.