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Finding the Third Proportional to 4,072,825 and 6,038,761

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Solution

The third proportional to 4,072,825 and 6,038,761 is: 8,953,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072,825 : 6,038,761 = 6,038,761 : x
  2. Step 2: Convert to fraction form
    4,072,825/6,038,761 = 6,038,761/x
  3. Step 3: Cross multiply
    4,072,825x = 6,038,761 × 6,038,761
  4. Step 4: Simplify right side
    4,072,825x = 36,466,634,415,121
  5. Step 5: Solve for x
    x = 36,466,634,415,121/4,072,825
  6. Step 6: Final answer
    x = 8,953,646.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.