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Finding the Third Proportional to 928,349.25 and 1,420,109.25

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Solution

The third proportional to 928,349.25 and 1,420,109.25 is: 2,172,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,349.25 : 1,420,109.25 = 1,420,109.25 : x
  2. Step 2: Convert to fraction form
    928,349.25/1,420,109.25 = 1,420,109.25/x
  3. Step 3: Cross multiply
    928,349.25x = 1,420,109.25 × 1,420,109.25
  4. Step 4: Simplify right side
    928,349.25x = 2,016,710,281,935.56
  5. Step 5: Solve for x
    x = 2,016,710,281,935.56/928,349.25
  6. Step 6: Final answer
    x = 2,172,361.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.