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Finding the Third Proportional to 699,274 and 1,509,140

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Solution

The third proportional to 699,274 and 1,509,140 is: 3,256,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,274 : 1,509,140 = 1,509,140 : x
  2. Step 2: Convert to fraction form
    699,274/1,509,140 = 1,509,140/x
  3. Step 3: Cross multiply
    699,274x = 1,509,140 × 1,509,140
  4. Step 4: Simplify right side
    699,274x = 2,277,503,539,600
  5. Step 5: Solve for x
    x = 2,277,503,539,600/699,274
  6. Step 6: Final answer
    x = 3,256,954.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.