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Finding the Third Proportional to 1,296,459 and 2,800,641.94

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Solution

The third proportional to 1,296,459 and 2,800,641.94 is: 6,050,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,459 : 2,800,641.94 = 2,800,641.94 : x
  2. Step 2: Convert to fraction form
    1,296,459/2,800,641.94 = 2,800,641.94/x
  3. Step 3: Cross multiply
    1,296,459x = 2,800,641.94 × 2,800,641.94
  4. Step 4: Simplify right side
    1,296,459x = 7,843,595,262,083.75
  5. Step 5: Solve for x
    x = 7,843,595,262,083.75/1,296,459
  6. Step 6: Final answer
    x = 6,050,014.12

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Why These Related Problems?

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