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Finding the Third Proportional to 907,569 and 1,980,189

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Solution

The third proportional to 907,569 and 1,980,189 is: 4,320,496.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,569 : 1,980,189 = 1,980,189 : x
  2. Step 2: Convert to fraction form
    907,569/1,980,189 = 1,980,189/x
  3. Step 3: Cross multiply
    907,569x = 1,980,189 × 1,980,189
  4. Step 4: Simplify right side
    907,569x = 3,921,148,475,721
  5. Step 5: Solve for x
    x = 3,921,148,475,721/907,569
  6. Step 6: Final answer
    x = 4,320,496.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.