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Finding the Third Proportional to 851,730.19 and 1,309,164.19

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Solution

The third proportional to 851,730.19 and 1,309,164.19 is: 2,012,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,730.19 : 1,309,164.19 = 1,309,164.19 : x
  2. Step 2: Convert to fraction form
    851,730.19/1,309,164.19 = 1,309,164.19/x
  3. Step 3: Cross multiply
    851,730.19x = 1,309,164.19 × 1,309,164.19
  4. Step 4: Simplify right side
    851,730.19x = 1,713,910,869,832.54
  5. Step 5: Solve for x
    x = 1,713,910,869,832.54/851,730.19
  6. Step 6: Final answer
    x = 2,012,269.72

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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.