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Finding the Third Proportional to 675,184.50 and 1,020,006

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Solution

The third proportional to 675,184.50 and 1,020,006 is: 1,540,930.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,184.50 : 1,020,006 = 1,020,006 : x
  2. Step 2: Convert to fraction form
    675,184.50/1,020,006 = 1,020,006/x
  3. Step 3: Cross multiply
    675,184.50x = 1,020,006 × 1,020,006
  4. Step 4: Simplify right side
    675,184.50x = 1,040,412,240,036
  5. Step 5: Solve for x
    x = 1,040,412,240,036/675,184.50
  6. Step 6: Final answer
    x = 1,540,930.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.