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Finding the Third Proportional to 839,466.28 and 1,973,357.44

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Solution

The third proportional to 839,466.28 and 1,973,357.44 is: 4,638,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,466.28 : 1,973,357.44 = 1,973,357.44 : x
  2. Step 2: Convert to fraction form
    839,466.28/1,973,357.44 = 1,973,357.44/x
  3. Step 3: Cross multiply
    839,466.28x = 1,973,357.44 × 1,973,357.44
  4. Step 4: Simplify right side
    839,466.28x = 3,894,139,576,136.57
  5. Step 5: Solve for x
    x = 3,894,139,576,136.57/839,466.28
  6. Step 6: Final answer
    x = 4,638,827.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.