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Finding the Third Proportional to 432,732 and 944,196

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Solution

The third proportional to 432,732 and 944,196 is: 2,060,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,732 : 944,196 = 944,196 : x
  2. Step 2: Convert to fraction form
    432,732/944,196 = 944,196/x
  3. Step 3: Cross multiply
    432,732x = 944,196 × 944,196
  4. Step 4: Simplify right side
    432,732x = 891,506,086,416
  5. Step 5: Solve for x
    x = 891,506,086,416/432,732
  6. Step 6: Final answer
    x = 2,060,180.63

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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.