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Finding the Third Proportional to 476,766 and 1,010,394

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Solution

The third proportional to 476,766 and 1,010,394 is: 2,141,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,766 : 1,010,394 = 1,010,394 : x
  2. Step 2: Convert to fraction form
    476,766/1,010,394 = 1,010,394/x
  3. Step 3: Cross multiply
    476,766x = 1,010,394 × 1,010,394
  4. Step 4: Simplify right side
    476,766x = 1,020,896,035,236
  5. Step 5: Solve for x
    x = 1,020,896,035,236/476,766
  6. Step 6: Final answer
    x = 2,141,293.71

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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.