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Finding the Third Proportional to 1,817,257 and 3,822,867

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Solution

The third proportional to 1,817,257 and 3,822,867 is: 8,041,962.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,257 : 3,822,867 = 3,822,867 : x
  2. Step 2: Convert to fraction form
    1,817,257/3,822,867 = 3,822,867/x
  3. Step 3: Cross multiply
    1,817,257x = 3,822,867 × 3,822,867
  4. Step 4: Simplify right side
    1,817,257x = 14,614,312,099,689
  5. Step 5: Solve for x
    x = 14,614,312,099,689/1,817,257
  6. Step 6: Final answer
    x = 8,041,962.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.