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Finding the Third Proportional to 689,352.75 and 1,458,193.50

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Solution

The third proportional to 689,352.75 and 1,458,193.50 is: 3,084,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,352.75 : 1,458,193.50 = 1,458,193.50 : x
  2. Step 2: Convert to fraction form
    689,352.75/1,458,193.50 = 1,458,193.50/x
  3. Step 3: Cross multiply
    689,352.75x = 1,458,193.50 × 1,458,193.50
  4. Step 4: Simplify right side
    689,352.75x = 2,126,328,283,442.25
  5. Step 5: Solve for x
    x = 2,126,328,283,442.25/689,352.75
  6. Step 6: Final answer
    x = 3,084,528.62

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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.