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Finding the Third Proportional to 818,648 and 1,780,408

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Solution

The third proportional to 818,648 and 1,780,408 is: 3,872,058.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,648 : 1,780,408 = 1,780,408 : x
  2. Step 2: Convert to fraction form
    818,648/1,780,408 = 1,780,408/x
  3. Step 3: Cross multiply
    818,648x = 1,780,408 × 1,780,408
  4. Step 4: Simplify right side
    818,648x = 3,169,852,646,464
  5. Step 5: Solve for x
    x = 3,169,852,646,464/818,648
  6. Step 6: Final answer
    x = 3,872,058.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.