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Finding the Third Proportional to 786,420 and 1,675,848

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Solution

The third proportional to 786,420 and 1,675,848 is: 3,571,204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,420 : 1,675,848 = 1,675,848 : x
  2. Step 2: Convert to fraction form
    786,420/1,675,848 = 1,675,848/x
  3. Step 3: Cross multiply
    786,420x = 1,675,848 × 1,675,848
  4. Step 4: Simplify right side
    786,420x = 2,808,466,519,104
  5. Step 5: Solve for x
    x = 2,808,466,519,104/786,420
  6. Step 6: Final answer
    x = 3,571,204.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.