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Finding the Third Proportional to 521,124 and 1,142,004

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Solution

The third proportional to 521,124 and 1,142,004 is: 2,502,615.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,124 : 1,142,004 = 1,142,004 : x
  2. Step 2: Convert to fraction form
    521,124/1,142,004 = 1,142,004/x
  3. Step 3: Cross multiply
    521,124x = 1,142,004 × 1,142,004
  4. Step 4: Simplify right side
    521,124x = 1,304,173,136,016
  5. Step 5: Solve for x
    x = 1,304,173,136,016/521,124
  6. Step 6: Final answer
    x = 2,502,615.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.