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Finding the Third Proportional to 1,755,940.78 and 3,830,128.03

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Solution

The third proportional to 1,755,940.78 and 3,830,128.03 is: 8,354,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755,940.78 : 3,830,128.03 = 3,830,128.03 : x
  2. Step 2: Convert to fraction form
    1,755,940.78/3,830,128.03 = 3,830,128.03/x
  3. Step 3: Cross multiply
    1,755,940.78x = 3,830,128.03 × 3,830,128.03
  4. Step 4: Simplify right side
    1,755,940.78x = 14,669,880,735,767
  5. Step 5: Solve for x
    x = 14,669,880,735,767/1,755,940.78
  6. Step 6: Final answer
    x = 8,354,427.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.