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Finding the Third Proportional to 409,394 and 880,996

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Solution

The third proportional to 409,394 and 880,996 is: 1,895,860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,394 : 880,996 = 880,996 : x
  2. Step 2: Convert to fraction form
    409,394/880,996 = 880,996/x
  3. Step 3: Cross multiply
    409,394x = 880,996 × 880,996
  4. Step 4: Simplify right side
    409,394x = 776,153,952,016
  5. Step 5: Solve for x
    x = 776,153,952,016/409,394
  6. Step 6: Final answer
    x = 1,895,860.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.