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Finding the Third Proportional to 409,479 and 886,030

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Solution

The third proportional to 409,479 and 886,030 is: 1,917,190.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,479 : 886,030 = 886,030 : x
  2. Step 2: Convert to fraction form
    409,479/886,030 = 886,030/x
  3. Step 3: Cross multiply
    409,479x = 886,030 × 886,030
  4. Step 4: Simplify right side
    409,479x = 785,049,160,900
  5. Step 5: Solve for x
    x = 785,049,160,900/409,479
  6. Step 6: Final answer
    x = 1,917,190.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.