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Finding the Third Proportional to 432,726 and 944,184

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Solution

The third proportional to 432,726 and 944,184 is: 2,060,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,726 : 944,184 = 944,184 : x
  2. Step 2: Convert to fraction form
    432,726/944,184 = 944,184/x
  3. Step 3: Cross multiply
    432,726x = 944,184 × 944,184
  4. Step 4: Simplify right side
    432,726x = 891,483,425,856
  5. Step 5: Solve for x
    x = 891,483,425,856/432,726
  6. Step 6: Final answer
    x = 2,060,156.83

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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.