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Finding the Third Proportional to 953,840.81 and 2,045,872.69

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Solution

The third proportional to 953,840.81 and 2,045,872.69 is: 4,388,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    953,840.81 : 2,045,872.69 = 2,045,872.69 : x
  2. Step 2: Convert to fraction form
    953,840.81/2,045,872.69 = 2,045,872.69/x
  3. Step 3: Cross multiply
    953,840.81x = 2,045,872.69 × 2,045,872.69
  4. Step 4: Simplify right side
    953,840.81x = 4,185,595,053,458.47
  5. Step 5: Solve for x
    x = 4,185,595,053,458.47/953,840.81
  6. Step 6: Final answer
    x = 4,388,148.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.