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Finding the Third Proportional to 1,501,760 and 3,267,904

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Solution

The third proportional to 1,501,760 and 3,267,904 is: 7,111,120.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501,760 : 3,267,904 = 3,267,904 : x
  2. Step 2: Convert to fraction form
    1,501,760/3,267,904 = 3,267,904/x
  3. Step 3: Cross multiply
    1,501,760x = 3,267,904 × 3,267,904
  4. Step 4: Simplify right side
    1,501,760x = 10,679,196,553,216
  5. Step 5: Solve for x
    x = 10,679,196,553,216/1,501,760
  6. Step 6: Final answer
    x = 7,111,120.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.