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Finding the Third Proportional to 776,432 and 1,646,176

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Solution

The third proportional to 776,432 and 1,646,176 is: 3,490,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,432 : 1,646,176 = 1,646,176 : x
  2. Step 2: Convert to fraction form
    776,432/1,646,176 = 1,646,176/x
  3. Step 3: Cross multiply
    776,432x = 1,646,176 × 1,646,176
  4. Step 4: Simplify right side
    776,432x = 2,709,895,422,976
  5. Step 5: Solve for x
    x = 2,709,895,422,976/776,432
  6. Step 6: Final answer
    x = 3,490,190.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.