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Finding the Third Proportional to 1,905,124 and 2,947,270

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Solution

The third proportional to 1,905,124 and 2,947,270 is: 4,559,493.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905,124 : 2,947,270 = 2,947,270 : x
  2. Step 2: Convert to fraction form
    1,905,124/2,947,270 = 2,947,270/x
  3. Step 3: Cross multiply
    1,905,124x = 2,947,270 × 2,947,270
  4. Step 4: Simplify right side
    1,905,124x = 8,686,400,452,900
  5. Step 5: Solve for x
    x = 8,686,400,452,900/1,905,124
  6. Step 6: Final answer
    x = 4,559,493.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.