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Finding the Third Proportional to 500,378 and 1,021,132

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Solution

The third proportional to 500,378 and 1,021,132 is: 2,083,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,378 : 1,021,132 = 1,021,132 : x
  2. Step 2: Convert to fraction form
    500,378/1,021,132 = 1,021,132/x
  3. Step 3: Cross multiply
    500,378x = 1,021,132 × 1,021,132
  4. Step 4: Simplify right side
    500,378x = 1,042,710,561,424
  5. Step 5: Solve for x
    x = 1,042,710,561,424/500,378
  6. Step 6: Final answer
    x = 2,083,845.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.