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Finding the Third Proportional to 1,806,810 and 2,477,532

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Solution

The third proportional to 1,806,810 and 2,477,532 is: 3,397,238.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806,810 : 2,477,532 = 2,477,532 : x
  2. Step 2: Convert to fraction form
    1,806,810/2,477,532 = 2,477,532/x
  3. Step 3: Cross multiply
    1,806,810x = 2,477,532 × 2,477,532
  4. Step 4: Simplify right side
    1,806,810x = 6,138,164,811,024
  5. Step 5: Solve for x
    x = 6,138,164,811,024/1,806,810
  6. Step 6: Final answer
    x = 3,397,238.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.