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Finding the Third Proportional to 526,838 and 1,137,912

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Solution

The third proportional to 526,838 and 1,137,912 is: 2,457,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,838 : 1,137,912 = 1,137,912 : x
  2. Step 2: Convert to fraction form
    526,838/1,137,912 = 1,137,912/x
  3. Step 3: Cross multiply
    526,838x = 1,137,912 × 1,137,912
  4. Step 4: Simplify right side
    526,838x = 1,294,843,719,744
  5. Step 5: Solve for x
    x = 1,294,843,719,744/526,838
  6. Step 6: Final answer
    x = 2,457,764.47

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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.