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Finding the Third Proportional to 908,426 and 1,971,394

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Solution

The third proportional to 908,426 and 1,971,394 is: 4,278,162.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,426 : 1,971,394 = 1,971,394 : x
  2. Step 2: Convert to fraction form
    908,426/1,971,394 = 1,971,394/x
  3. Step 3: Cross multiply
    908,426x = 1,971,394 × 1,971,394
  4. Step 4: Simplify right side
    908,426x = 3,886,394,303,236
  5. Step 5: Solve for x
    x = 3,886,394,303,236/908,426
  6. Step 6: Final answer
    x = 4,278,162.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.