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Finding the Third Proportional to 2,807,196.75 and 4,014,420.75

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Solution

The third proportional to 2,807,196.75 and 4,014,420.75 is: 5,740,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807,196.75 : 4,014,420.75 = 4,014,420.75 : x
  2. Step 2: Convert to fraction form
    2,807,196.75/4,014,420.75 = 4,014,420.75/x
  3. Step 3: Cross multiply
    2,807,196.75x = 4,014,420.75 × 4,014,420.75
  4. Step 4: Simplify right side
    2,807,196.75x = 16,115,573,958,030.56
  5. Step 5: Solve for x
    x = 16,115,573,958,030.56/2,807,196.75
  6. Step 6: Final answer
    x = 5,740,806.72

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.