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Finding the Third Proportional to 432,159 and 933,560

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Solution

The third proportional to 432,159 and 933,560 is: 2,016,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,159 : 933,560 = 933,560 : x
  2. Step 2: Convert to fraction form
    432,159/933,560 = 933,560/x
  3. Step 3: Cross multiply
    432,159x = 933,560 × 933,560
  4. Step 4: Simplify right side
    432,159x = 871,534,273,600
  5. Step 5: Solve for x
    x = 871,534,273,600/432,159
  6. Step 6: Final answer
    x = 2,016,698.19

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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.