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Finding the Third Proportional to 1,762,122 and 3,847,797

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Solution

The third proportional to 1,762,122 and 3,847,797 is: 8,402,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762,122 : 3,847,797 = 3,847,797 : x
  2. Step 2: Convert to fraction form
    1,762,122/3,847,797 = 3,847,797/x
  3. Step 3: Cross multiply
    1,762,122x = 3,847,797 × 3,847,797
  4. Step 4: Simplify right side
    1,762,122x = 14,805,541,753,209
  5. Step 5: Solve for x
    x = 14,805,541,753,209/1,762,122
  6. Step 6: Final answer
    x = 8,402,109.36

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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.