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Finding the Third Proportional to 2,048,735.53 and 3,006,663.05

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Solution

The third proportional to 2,048,735.53 and 3,006,663.05 is: 4,412,488.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048,735.53 : 3,006,663.05 = 3,006,663.05 : x
  2. Step 2: Convert to fraction form
    2,048,735.53/3,006,663.05 = 3,006,663.05/x
  3. Step 3: Cross multiply
    2,048,735.53x = 3,006,663.05 × 3,006,663.05
  4. Step 4: Simplify right side
    2,048,735.53x = 9,040,022,677,443.66
  5. Step 5: Solve for x
    x = 9,040,022,677,443.66/2,048,735.53
  6. Step 6: Final answer
    x = 4,412,488.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.