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Finding the Third Proportional to 791,511.75 and 1,638,994.50

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Solution

The third proportional to 791,511.75 and 1,638,994.50 is: 3,393,888.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,511.75 : 1,638,994.50 = 1,638,994.50 : x
  2. Step 2: Convert to fraction form
    791,511.75/1,638,994.50 = 1,638,994.50/x
  3. Step 3: Cross multiply
    791,511.75x = 1,638,994.50 × 1,638,994.50
  4. Step 4: Simplify right side
    791,511.75x = 2,686,302,971,030.25
  5. Step 5: Solve for x
    x = 2,686,302,971,030.25/791,511.75
  6. Step 6: Final answer
    x = 3,393,888.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.