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Finding the Third Proportional to 1,205,815 and 1,919,423

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Solution

The third proportional to 1,205,815 and 1,919,423 is: 3,055,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,815 : 1,919,423 = 1,919,423 : x
  2. Step 2: Convert to fraction form
    1,205,815/1,919,423 = 1,919,423/x
  3. Step 3: Cross multiply
    1,205,815x = 1,919,423 × 1,919,423
  4. Step 4: Simplify right side
    1,205,815x = 3,684,184,652,929
  5. Step 5: Solve for x
    x = 3,684,184,652,929/1,205,815
  6. Step 6: Final answer
    x = 3,055,348.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.