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Finding the Third Proportional to 432,677 and 946,920

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Solution

The third proportional to 432,677 and 946,920 is: 2,072,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,677 : 946,920 = 946,920 : x
  2. Step 2: Convert to fraction form
    432,677/946,920 = 946,920/x
  3. Step 3: Cross multiply
    432,677x = 946,920 × 946,920
  4. Step 4: Simplify right side
    432,677x = 896,657,486,400
  5. Step 5: Solve for x
    x = 896,657,486,400/432,677
  6. Step 6: Final answer
    x = 2,072,348.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.