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Finding the Third Proportional to 2,658,825 and 5,798,871

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Solution

The third proportional to 2,658,825 and 5,798,871 is: 12,647,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658,825 : 5,798,871 = 5,798,871 : x
  2. Step 2: Convert to fraction form
    2,658,825/5,798,871 = 5,798,871/x
  3. Step 3: Cross multiply
    2,658,825x = 5,798,871 × 5,798,871
  4. Step 4: Simplify right side
    2,658,825x = 33,626,904,874,641
  5. Step 5: Solve for x
    x = 33,626,904,874,641/2,658,825
  6. Step 6: Final answer
    x = 12,647,280.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.