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Finding the Third Proportional to 1,578,498 and 3,409,216

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Solution

The third proportional to 1,578,498 and 3,409,216 is: 7,363,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,498 : 3,409,216 = 3,409,216 : x
  2. Step 2: Convert to fraction form
    1,578,498/3,409,216 = 3,409,216/x
  3. Step 3: Cross multiply
    1,578,498x = 3,409,216 × 3,409,216
  4. Step 4: Simplify right side
    1,578,498x = 11,622,753,734,656
  5. Step 5: Solve for x
    x = 11,622,753,734,656/1,578,498
  6. Step 6: Final answer
    x = 7,363,172.92

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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.