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Finding the Third Proportional to 758,876.63 and 1,616,071.50

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Solution

The third proportional to 758,876.63 and 1,616,071.50 is: 3,441,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,876.63 : 1,616,071.50 = 1,616,071.50 : x
  2. Step 2: Convert to fraction form
    758,876.63/1,616,071.50 = 1,616,071.50/x
  3. Step 3: Cross multiply
    758,876.63x = 1,616,071.50 × 1,616,071.50
  4. Step 4: Simplify right side
    758,876.63x = 2,611,687,093,112.25
  5. Step 5: Solve for x
    x = 2,611,687,093,112.25/758,876.63
  6. Step 6: Final answer
    x = 3,441,517.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.