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Finding the Third Proportional to 651,680 and 986,876

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Solution

The third proportional to 651,680 and 986,876 is: 1,494,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,680 : 986,876 = 986,876 : x
  2. Step 2: Convert to fraction form
    651,680/986,876 = 986,876/x
  3. Step 3: Cross multiply
    651,680x = 986,876 × 986,876
  4. Step 4: Simplify right side
    651,680x = 973,924,239,376
  5. Step 5: Solve for x
    x = 973,924,239,376/651,680
  6. Step 6: Final answer
    x = 1,494,482.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.