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Finding the Third Proportional to 1,284,533 and 2,974,596

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Solution

The third proportional to 1,284,533 and 2,974,596 is: 6,888,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,533 : 2,974,596 = 2,974,596 : x
  2. Step 2: Convert to fraction form
    1,284,533/2,974,596 = 2,974,596/x
  3. Step 3: Cross multiply
    1,284,533x = 2,974,596 × 2,974,596
  4. Step 4: Simplify right side
    1,284,533x = 8,848,221,363,216
  5. Step 5: Solve for x
    x = 8,848,221,363,216/1,284,533
  6. Step 6: Final answer
    x = 6,888,278.75

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.