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Finding the Third Proportional to 778,408 and 1,676,896

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Solution

The third proportional to 778,408 and 1,676,896 is: 3,612,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,408 : 1,676,896 = 1,676,896 : x
  2. Step 2: Convert to fraction form
    778,408/1,676,896 = 1,676,896/x
  3. Step 3: Cross multiply
    778,408x = 1,676,896 × 1,676,896
  4. Step 4: Simplify right side
    778,408x = 2,811,980,194,816
  5. Step 5: Solve for x
    x = 2,811,980,194,816/778,408
  6. Step 6: Final answer
    x = 3,612,475.97

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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.