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Finding the Third Proportional to 1,578,546 and 3,409,689

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Solution

The third proportional to 1,578,546 and 3,409,689 is: 7,364,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,546 : 3,409,689 = 3,409,689 : x
  2. Step 2: Convert to fraction form
    1,578,546/3,409,689 = 3,409,689/x
  3. Step 3: Cross multiply
    1,578,546x = 3,409,689 × 3,409,689
  4. Step 4: Simplify right side
    1,578,546x = 11,625,979,076,721
  5. Step 5: Solve for x
    x = 11,625,979,076,721/1,578,546
  6. Step 6: Final answer
    x = 7,364,992.26

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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.