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Finding the Third Proportional to 1,384,106 and 2,975,140

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Solution

The third proportional to 1,384,106 and 2,975,140 is: 6,395,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384,106 : 2,975,140 = 2,975,140 : x
  2. Step 2: Convert to fraction form
    1,384,106/2,975,140 = 2,975,140/x
  3. Step 3: Cross multiply
    1,384,106x = 2,975,140 × 2,975,140
  4. Step 4: Simplify right side
    1,384,106x = 8,851,458,019,600
  5. Step 5: Solve for x
    x = 8,851,458,019,600/1,384,106
  6. Step 6: Final answer
    x = 6,395,072.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.