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Finding the Third Proportional to 535,850 and 1,155,834

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Solution

The third proportional to 535,850 and 1,155,834 is: 2,493,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,850 : 1,155,834 = 1,155,834 : x
  2. Step 2: Convert to fraction form
    535,850/1,155,834 = 1,155,834/x
  3. Step 3: Cross multiply
    535,850x = 1,155,834 × 1,155,834
  4. Step 4: Simplify right side
    535,850x = 1,335,952,235,556
  5. Step 5: Solve for x
    x = 1,335,952,235,556/535,850
  6. Step 6: Final answer
    x = 2,493,145.91

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