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Finding the Third Proportional to 774,458 and 1,641,218

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Solution

The third proportional to 774,458 and 1,641,218 is: 3,478,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,458 : 1,641,218 = 1,641,218 : x
  2. Step 2: Convert to fraction form
    774,458/1,641,218 = 1,641,218/x
  3. Step 3: Cross multiply
    774,458x = 1,641,218 × 1,641,218
  4. Step 4: Simplify right side
    774,458x = 2,693,596,523,524
  5. Step 5: Solve for x
    x = 2,693,596,523,524/774,458
  6. Step 6: Final answer
    x = 3,478,040.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.