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Finding the Third Proportional to 774,454 and 1,641,211

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Solution

The third proportional to 774,454 and 1,641,211 is: 3,478,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,454 : 1,641,211 = 1,641,211 : x
  2. Step 2: Convert to fraction form
    774,454/1,641,211 = 1,641,211/x
  3. Step 3: Cross multiply
    774,454x = 1,641,211 × 1,641,211
  4. Step 4: Simplify right side
    774,454x = 2,693,573,546,521
  5. Step 5: Solve for x
    x = 2,693,573,546,521/774,454
  6. Step 6: Final answer
    x = 3,478,029.10

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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.