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Finding the Third Proportional to 749,841 and 1,619,454

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Solution

The third proportional to 749,841 and 1,619,454 is: 3,497,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,841 : 1,619,454 = 1,619,454 : x
  2. Step 2: Convert to fraction form
    749,841/1,619,454 = 1,619,454/x
  3. Step 3: Cross multiply
    749,841x = 1,619,454 × 1,619,454
  4. Step 4: Simplify right side
    749,841x = 2,622,631,258,116
  5. Step 5: Solve for x
    x = 2,622,631,258,116/749,841
  6. Step 6: Final answer
    x = 3,497,583.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.