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Finding the Third Proportional to 502,592 and 1,083,912

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Solution

The third proportional to 502,592 and 1,083,912 is: 2,337,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,592 : 1,083,912 = 1,083,912 : x
  2. Step 2: Convert to fraction form
    502,592/1,083,912 = 1,083,912/x
  3. Step 3: Cross multiply
    502,592x = 1,083,912 × 1,083,912
  4. Step 4: Simplify right side
    502,592x = 1,174,865,223,744
  5. Step 5: Solve for x
    x = 1,174,865,223,744/502,592
  6. Step 6: Final answer
    x = 2,337,612.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.