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Finding the Third Proportional to 851,452 and 1,309,129

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Solution

The third proportional to 851,452 and 1,309,129 is: 2,012,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,452 : 1,309,129 = 1,309,129 : x
  2. Step 2: Convert to fraction form
    851,452/1,309,129 = 1,309,129/x
  3. Step 3: Cross multiply
    851,452x = 1,309,129 × 1,309,129
  4. Step 4: Simplify right side
    851,452x = 1,713,818,738,641
  5. Step 5: Solve for x
    x = 1,713,818,738,641/851,452
  6. Step 6: Final answer
    x = 2,012,818.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.