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Finding the Third Proportional to 432,738 and 938,466

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Solution

The third proportional to 432,738 and 938,466 is: 2,035,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,738 : 938,466 = 938,466 : x
  2. Step 2: Convert to fraction form
    432,738/938,466 = 938,466/x
  3. Step 3: Cross multiply
    432,738x = 938,466 × 938,466
  4. Step 4: Simplify right side
    432,738x = 880,718,433,156
  5. Step 5: Solve for x
    x = 880,718,433,156/432,738
  6. Step 6: Final answer
    x = 2,035,223.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.