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Finding the Third Proportional to 1,176,969 and 2,495,195

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Solution

The third proportional to 1,176,969 and 2,495,195 is: 5,289,857.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,969 : 2,495,195 = 2,495,195 : x
  2. Step 2: Convert to fraction form
    1,176,969/2,495,195 = 2,495,195/x
  3. Step 3: Cross multiply
    1,176,969x = 2,495,195 × 2,495,195
  4. Step 4: Simplify right side
    1,176,969x = 6,225,998,088,025
  5. Step 5: Solve for x
    x = 6,225,998,088,025/1,176,969
  6. Step 6: Final answer
    x = 5,289,857.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.