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Finding the Third Proportional to 1,421,298 and 2,899,689

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Solution

The third proportional to 1,421,298 and 2,899,689 is: 5,915,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,298 : 2,899,689 = 2,899,689 : x
  2. Step 2: Convert to fraction form
    1,421,298/2,899,689 = 2,899,689/x
  3. Step 3: Cross multiply
    1,421,298x = 2,899,689 × 2,899,689
  4. Step 4: Simplify right side
    1,421,298x = 8,408,196,296,721
  5. Step 5: Solve for x
    x = 8,408,196,296,721/1,421,298
  6. Step 6: Final answer
    x = 5,915,857.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.