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Finding the Third Proportional to 1,197,023 and 2,626,606

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Solution

The third proportional to 1,197,023 and 2,626,606 is: 5,763,514.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,023 : 2,626,606 = 2,626,606 : x
  2. Step 2: Convert to fraction form
    1,197,023/2,626,606 = 2,626,606/x
  3. Step 3: Cross multiply
    1,197,023x = 2,626,606 × 2,626,606
  4. Step 4: Simplify right side
    1,197,023x = 6,899,059,079,236
  5. Step 5: Solve for x
    x = 6,899,059,079,236/1,197,023
  6. Step 6: Final answer
    x = 5,763,514.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.