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Finding the Third Proportional to 534,804 and 1,165,564

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Solution

The third proportional to 534,804 and 1,165,564 is: 2,540,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,804 : 1,165,564 = 1,165,564 : x
  2. Step 2: Convert to fraction form
    534,804/1,165,564 = 1,165,564/x
  3. Step 3: Cross multiply
    534,804x = 1,165,564 × 1,165,564
  4. Step 4: Simplify right side
    534,804x = 1,358,539,438,096
  5. Step 5: Solve for x
    x = 1,358,539,438,096/534,804
  6. Step 6: Final answer
    x = 2,540,256.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.