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Finding the Third Proportional to 1,335,952 and 2,866,208

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Solution

The third proportional to 1,335,952 and 2,866,208 is: 6,149,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335,952 : 2,866,208 = 2,866,208 : x
  2. Step 2: Convert to fraction form
    1,335,952/2,866,208 = 2,866,208/x
  3. Step 3: Cross multiply
    1,335,952x = 2,866,208 × 2,866,208
  4. Step 4: Simplify right side
    1,335,952x = 8,215,148,299,264
  5. Step 5: Solve for x
    x = 8,215,148,299,264/1,335,952
  6. Step 6: Final answer
    x = 6,149,284.03

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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.