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Finding the Third Proportional to 946,818 and 1,331,763

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Solution

The third proportional to 946,818 and 1,331,763 is: 1,873,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,818 : 1,331,763 = 1,331,763 : x
  2. Step 2: Convert to fraction form
    946,818/1,331,763 = 1,331,763/x
  3. Step 3: Cross multiply
    946,818x = 1,331,763 × 1,331,763
  4. Step 4: Simplify right side
    946,818x = 1,773,592,688,169
  5. Step 5: Solve for x
    x = 1,773,592,688,169/946,818
  6. Step 6: Final answer
    x = 1,873,213.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.