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Finding the Third Proportional to 500,473 and 1,180,933

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Solution

The third proportional to 500,473 and 1,180,933 is: 2,786,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,473 : 1,180,933 = 1,180,933 : x
  2. Step 2: Convert to fraction form
    500,473/1,180,933 = 1,180,933/x
  3. Step 3: Cross multiply
    500,473x = 1,180,933 × 1,180,933
  4. Step 4: Simplify right side
    500,473x = 1,394,602,750,489
  5. Step 5: Solve for x
    x = 1,394,602,750,489/500,473
  6. Step 6: Final answer
    x = 2,786,569.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.