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Finding the Third Proportional to 1,148,823 and 1,908,029.25

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Solution

The third proportional to 1,148,823 and 1,908,029.25 is: 3,168,961.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,823 : 1,908,029.25 = 1,908,029.25 : x
  2. Step 2: Convert to fraction form
    1,148,823/1,908,029.25 = 1,908,029.25/x
  3. Step 3: Cross multiply
    1,148,823x = 1,908,029.25 × 1,908,029.25
  4. Step 4: Simplify right side
    1,148,823x = 3,640,575,618,855.56
  5. Step 5: Solve for x
    x = 3,640,575,618,855.56/1,148,823
  6. Step 6: Final answer
    x = 3,168,961.29

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.