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Finding the Third Proportional to 1,269,030 and 1,943,680.50

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Solution

The third proportional to 1,269,030 and 1,943,680.50 is: 2,976,993.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,030 : 1,943,680.50 = 1,943,680.50 : x
  2. Step 2: Convert to fraction form
    1,269,030/1,943,680.50 = 1,943,680.50/x
  3. Step 3: Cross multiply
    1,269,030x = 1,943,680.50 × 1,943,680.50
  4. Step 4: Simplify right side
    1,269,030x = 3,777,893,886,080.25
  5. Step 5: Solve for x
    x = 3,777,893,886,080.25/1,269,030
  6. Step 6: Final answer
    x = 2,976,993.36

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.