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Finding the Third Proportional to 1,267,470 and 2,818,323

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Solution

The third proportional to 1,267,470 and 2,818,323 is: 6,266,771.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,470 : 2,818,323 = 2,818,323 : x
  2. Step 2: Convert to fraction form
    1,267,470/2,818,323 = 2,818,323/x
  3. Step 3: Cross multiply
    1,267,470x = 2,818,323 × 2,818,323
  4. Step 4: Simplify right side
    1,267,470x = 7,942,944,532,329
  5. Step 5: Solve for x
    x = 7,942,944,532,329/1,267,470
  6. Step 6: Final answer
    x = 6,266,771.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.