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Finding the Third Proportional to 432,416 and 920,958

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Solution

The third proportional to 432,416 and 920,958 is: 1,961,452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,416 : 920,958 = 920,958 : x
  2. Step 2: Convert to fraction form
    432,416/920,958 = 920,958/x
  3. Step 3: Cross multiply
    432,416x = 920,958 × 920,958
  4. Step 4: Simplify right side
    432,416x = 848,163,637,764
  5. Step 5: Solve for x
    x = 848,163,637,764/432,416
  6. Step 6: Final answer
    x = 1,961,452.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.