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Finding the Third Proportional to 3,049,901 and 4,486,099.50

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Solution

The third proportional to 3,049,901 and 4,486,099.50 is: 6,598,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049,901 : 4,486,099.50 = 4,486,099.50 : x
  2. Step 2: Convert to fraction form
    3,049,901/4,486,099.50 = 4,486,099.50/x
  3. Step 3: Cross multiply
    3,049,901x = 4,486,099.50 × 4,486,099.50
  4. Step 4: Simplify right side
    3,049,901x = 20,125,088,723,900.25
  5. Step 5: Solve for x
    x = 20,125,088,723,900.25/3,049,901
  6. Step 6: Final answer
    x = 6,598,603.93

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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.