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Finding the Third Proportional to 500,672 and 1,042,768

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Solution

The third proportional to 500,672 and 1,042,768 is: 2,171,811.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,672 : 1,042,768 = 1,042,768 : x
  2. Step 2: Convert to fraction form
    500,672/1,042,768 = 1,042,768/x
  3. Step 3: Cross multiply
    500,672x = 1,042,768 × 1,042,768
  4. Step 4: Simplify right side
    500,672x = 1,087,365,101,824
  5. Step 5: Solve for x
    x = 1,087,365,101,824/500,672
  6. Step 6: Final answer
    x = 2,171,811.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.