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Finding the Third Proportional to 851,947 and 1,817,556.50

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Solution

The third proportional to 851,947 and 1,817,556.50 is: 3,877,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,947 : 1,817,556.50 = 1,817,556.50 : x
  2. Step 2: Convert to fraction form
    851,947/1,817,556.50 = 1,817,556.50/x
  3. Step 3: Cross multiply
    851,947x = 1,817,556.50 × 1,817,556.50
  4. Step 4: Simplify right side
    851,947x = 3,303,511,630,692.25
  5. Step 5: Solve for x
    x = 3,303,511,630,692.25/851,947
  6. Step 6: Final answer
    x = 3,877,602.28

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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.