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Finding the Third Proportional to 1,546,263 and 3,328,473

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Solution

The third proportional to 1,546,263 and 3,328,473 is: 7,164,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546,263 : 3,328,473 = 3,328,473 : x
  2. Step 2: Convert to fraction form
    1,546,263/3,328,473 = 3,328,473/x
  3. Step 3: Cross multiply
    1,546,263x = 3,328,473 × 3,328,473
  4. Step 4: Simplify right side
    1,546,263x = 11,078,732,511,729
  5. Step 5: Solve for x
    x = 11,078,732,511,729/1,546,263
  6. Step 6: Final answer
    x = 7,164,843.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.