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Finding the Third Proportional to 851,693.94 and 1,309,114.65

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Solution

The third proportional to 851,693.94 and 1,309,114.65 is: 2,012,203.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,693.94 : 1,309,114.65 = 1,309,114.65 : x
  2. Step 2: Convert to fraction form
    851,693.94/1,309,114.65 = 1,309,114.65/x
  3. Step 3: Cross multiply
    851,693.94x = 1,309,114.65 × 1,309,114.65
  4. Step 4: Simplify right side
    851,693.94x = 1,713,781,175,857.35
  5. Step 5: Solve for x
    x = 1,713,781,175,857.35/851,693.94
  6. Step 6: Final answer
    x = 2,012,203.09

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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.