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Finding the Third Proportional to 430,818 and 947,196

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Solution

The third proportional to 430,818 and 947,196 is: 2,082,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,818 : 947,196 = 947,196 : x
  2. Step 2: Convert to fraction form
    430,818/947,196 = 947,196/x
  3. Step 3: Cross multiply
    430,818x = 947,196 × 947,196
  4. Step 4: Simplify right side
    430,818x = 897,180,262,416
  5. Step 5: Solve for x
    x = 897,180,262,416/430,818
  6. Step 6: Final answer
    x = 2,082,504.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.