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Finding the Third Proportional to 934,216 and 2,042,924

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Solution

The third proportional to 934,216 and 2,042,924 is: 4,467,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,216 : 2,042,924 = 2,042,924 : x
  2. Step 2: Convert to fraction form
    934,216/2,042,924 = 2,042,924/x
  3. Step 3: Cross multiply
    934,216x = 2,042,924 × 2,042,924
  4. Step 4: Simplify right side
    934,216x = 4,173,538,469,776
  5. Step 5: Solve for x
    x = 4,173,538,469,776/934,216
  6. Step 6: Final answer
    x = 4,467,423.45

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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.