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Finding the Third Proportional to 783,432 and 1,634,976

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Solution

The third proportional to 783,432 and 1,634,976 is: 3,412,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,432 : 1,634,976 = 1,634,976 : x
  2. Step 2: Convert to fraction form
    783,432/1,634,976 = 1,634,976/x
  3. Step 3: Cross multiply
    783,432x = 1,634,976 × 1,634,976
  4. Step 4: Simplify right side
    783,432x = 2,673,146,520,576
  5. Step 5: Solve for x
    x = 2,673,146,520,576/783,432
  6. Step 6: Final answer
    x = 3,412,097.69

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.