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Finding the Third Proportional to 508,020 and 1,086,024

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Solution

The third proportional to 508,020 and 1,086,024 is: 2,321,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,020 : 1,086,024 = 1,086,024 : x
  2. Step 2: Convert to fraction form
    508,020/1,086,024 = 1,086,024/x
  3. Step 3: Cross multiply
    508,020x = 1,086,024 × 1,086,024
  4. Step 4: Simplify right side
    508,020x = 1,179,448,128,576
  5. Step 5: Solve for x
    x = 1,179,448,128,576/508,020
  6. Step 6: Final answer
    x = 2,321,656.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.