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Finding the Third Proportional to 526,638 and 1,153,284

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Solution

The third proportional to 526,638 and 1,153,284 is: 2,525,575.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,638 : 1,153,284 = 1,153,284 : x
  2. Step 2: Convert to fraction form
    526,638/1,153,284 = 1,153,284/x
  3. Step 3: Cross multiply
    526,638x = 1,153,284 × 1,153,284
  4. Step 4: Simplify right side
    526,638x = 1,330,063,984,656
  5. Step 5: Solve for x
    x = 1,330,063,984,656/526,638
  6. Step 6: Final answer
    x = 2,525,575.41

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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.