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Finding the Third Proportional to 1,578,046 and 3,451,324

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Solution

The third proportional to 1,578,046 and 3,451,324 is: 7,548,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,046 : 3,451,324 = 3,451,324 : x
  2. Step 2: Convert to fraction form
    1,578,046/3,451,324 = 3,451,324/x
  3. Step 3: Cross multiply
    1,578,046x = 3,451,324 × 3,451,324
  4. Step 4: Simplify right side
    1,578,046x = 11,911,637,352,976
  5. Step 5: Solve for x
    x = 11,911,637,352,976/1,578,046
  6. Step 6: Final answer
    x = 7,548,346.09

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.