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Finding the Third Proportional to 432,157 and 933,556

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Solution

The third proportional to 432,157 and 933,556 is: 2,016,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,157 : 933,556 = 933,556 : x
  2. Step 2: Convert to fraction form
    432,157/933,556 = 933,556/x
  3. Step 3: Cross multiply
    432,157x = 933,556 × 933,556
  4. Step 4: Simplify right side
    432,157x = 871,526,805,136
  5. Step 5: Solve for x
    x = 871,526,805,136/432,157
  6. Step 6: Final answer
    x = 2,016,690.24

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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.