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Finding the Third Proportional to 1,426,419 and 2,918,418

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Solution

The third proportional to 1,426,419 and 2,918,418 is: 5,971,011.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,419 : 2,918,418 = 2,918,418 : x
  2. Step 2: Convert to fraction form
    1,426,419/2,918,418 = 2,918,418/x
  3. Step 3: Cross multiply
    1,426,419x = 2,918,418 × 2,918,418
  4. Step 4: Simplify right side
    1,426,419x = 8,517,163,622,724
  5. Step 5: Solve for x
    x = 8,517,163,622,724/1,426,419
  6. Step 6: Final answer
    x = 5,971,011.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.