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Finding the Third Proportional to 694,338 and 1,430,212

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Solution

The third proportional to 694,338 and 1,430,212 is: 2,945,980.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,338 : 1,430,212 = 1,430,212 : x
  2. Step 2: Convert to fraction form
    694,338/1,430,212 = 1,430,212/x
  3. Step 3: Cross multiply
    694,338x = 1,430,212 × 1,430,212
  4. Step 4: Simplify right side
    694,338x = 2,045,506,364,944
  5. Step 5: Solve for x
    x = 2,045,506,364,944/694,338
  6. Step 6: Final answer
    x = 2,945,980.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.