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Finding the Third Proportional to 1,286,808 and 2,541,321

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Solution

The third proportional to 1,286,808 and 2,541,321 is: 5,018,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,808 : 2,541,321 = 2,541,321 : x
  2. Step 2: Convert to fraction form
    1,286,808/2,541,321 = 2,541,321/x
  3. Step 3: Cross multiply
    1,286,808x = 2,541,321 × 2,541,321
  4. Step 4: Simplify right side
    1,286,808x = 6,458,312,425,041
  5. Step 5: Solve for x
    x = 6,458,312,425,041/1,286,808
  6. Step 6: Final answer
    x = 5,018,862.51

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.