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Finding the Third Proportional to 783,124.50 and 1,658,907

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Solution

The third proportional to 783,124.50 and 1,658,907 is: 3,514,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,124.50 : 1,658,907 = 1,658,907 : x
  2. Step 2: Convert to fraction form
    783,124.50/1,658,907 = 1,658,907/x
  3. Step 3: Cross multiply
    783,124.50x = 1,658,907 × 1,658,907
  4. Step 4: Simplify right side
    783,124.50x = 2,751,972,434,649
  5. Step 5: Solve for x
    x = 2,751,972,434,649/783,124.50
  6. Step 6: Final answer
    x = 3,514,093.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.