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Finding the Third Proportional to 980,398.69 and 2,123,605.69

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Solution

The third proportional to 980,398.69 and 2,123,605.69 is: 4,599,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,398.69 : 2,123,605.69 = 2,123,605.69 : x
  2. Step 2: Convert to fraction form
    980,398.69/2,123,605.69 = 2,123,605.69/x
  3. Step 3: Cross multiply
    980,398.69x = 2,123,605.69 × 2,123,605.69
  4. Step 4: Simplify right side
    980,398.69x = 4,509,701,115,982.35
  5. Step 5: Solve for x
    x = 4,509,701,115,982.35/980,398.69
  6. Step 6: Final answer
    x = 4,599,864.50

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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.