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Finding the Third Proportional to 504,588 and 1,074,576

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Solution

The third proportional to 504,588 and 1,074,576 is: 2,288,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,588 : 1,074,576 = 1,074,576 : x
  2. Step 2: Convert to fraction form
    504,588/1,074,576 = 1,074,576/x
  3. Step 3: Cross multiply
    504,588x = 1,074,576 × 1,074,576
  4. Step 4: Simplify right side
    504,588x = 1,154,713,579,776
  5. Step 5: Solve for x
    x = 1,154,713,579,776/504,588
  6. Step 6: Final answer
    x = 2,288,428.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.