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Finding the Third Proportional to 2,387,009.25 and 4,884,325.31

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Solution

The third proportional to 2,387,009.25 and 4,884,325.31 is: 9,994,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387,009.25 : 4,884,325.31 = 4,884,325.31 : x
  2. Step 2: Convert to fraction form
    2,387,009.25/4,884,325.31 = 4,884,325.31/x
  3. Step 3: Cross multiply
    2,387,009.25x = 4,884,325.31 × 4,884,325.31
  4. Step 4: Simplify right side
    2,387,009.25x = 23,856,633,758,328.22
  5. Step 5: Solve for x
    x = 23,856,633,758,328.22/2,387,009.25
  6. Step 6: Final answer
    x = 9,994,361.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.