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Finding the Third Proportional to 1,576,631.81 and 3,458,471.63

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Solution

The third proportional to 1,576,631.81 and 3,458,471.63 is: 7,586,442.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576,631.81 : 3,458,471.63 = 3,458,471.63 : x
  2. Step 2: Convert to fraction form
    1,576,631.81/3,458,471.63 = 3,458,471.63/x
  3. Step 3: Cross multiply
    1,576,631.81x = 3,458,471.63 × 3,458,471.63
  4. Step 4: Simplify right side
    1,576,631.81x = 11,961,025,980,930.14
  5. Step 5: Solve for x
    x = 11,961,025,980,930.14/1,576,631.81
  6. Step 6: Final answer
    x = 7,586,442.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.