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Finding the Third Proportional to 814,014 and 1,736,100

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Solution

The third proportional to 814,014 and 1,736,100 is: 3,702,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,014 : 1,736,100 = 1,736,100 : x
  2. Step 2: Convert to fraction form
    814,014/1,736,100 = 1,736,100/x
  3. Step 3: Cross multiply
    814,014x = 1,736,100 × 1,736,100
  4. Step 4: Simplify right side
    814,014x = 3,014,043,210,000
  5. Step 5: Solve for x
    x = 3,014,043,210,000/814,014
  6. Step 6: Final answer
    x = 3,702,692.10

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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.