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Finding the Third Proportional to 1,578,496 and 3,409,212

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Solution

The third proportional to 1,578,496 and 3,409,212 is: 7,363,164.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,496 : 3,409,212 = 3,409,212 : x
  2. Step 2: Convert to fraction form
    1,578,496/3,409,212 = 3,409,212/x
  3. Step 3: Cross multiply
    1,578,496x = 3,409,212 × 3,409,212
  4. Step 4: Simplify right side
    1,578,496x = 11,622,726,460,944
  5. Step 5: Solve for x
    x = 11,622,726,460,944/1,578,496
  6. Step 6: Final answer
    x = 7,363,164.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.