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Finding the Third Proportional to 814,056.75 and 1,196,692.88

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Solution

The third proportional to 814,056.75 and 1,196,692.88 is: 1,759,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,056.75 : 1,196,692.88 = 1,196,692.88 : x
  2. Step 2: Convert to fraction form
    814,056.75/1,196,692.88 = 1,196,692.88/x
  3. Step 3: Cross multiply
    814,056.75x = 1,196,692.88 × 1,196,692.88
  4. Step 4: Simplify right side
    814,056.75x = 1,432,073,837,075.77
  5. Step 5: Solve for x
    x = 1,432,073,837,075.77/814,056.75
  6. Step 6: Final answer
    x = 1,759,181.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.