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Finding the Third Proportional to 1,030,299.75 and 1,576,047.38

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Solution

The third proportional to 1,030,299.75 and 1,576,047.38 is: 2,410,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030,299.75 : 1,576,047.38 = 1,576,047.38 : x
  2. Step 2: Convert to fraction form
    1,030,299.75/1,576,047.38 = 1,576,047.38/x
  3. Step 3: Cross multiply
    1,030,299.75x = 1,576,047.38 × 1,576,047.38
  4. Step 4: Simplify right side
    1,030,299.75x = 2,483,925,328,244.39
  5. Step 5: Solve for x
    x = 2,483,925,328,244.39/1,030,299.75
  6. Step 6: Final answer
    x = 2,410,876.38

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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.