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Finding the Third Proportional to 409,080 and 894,720

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Solution

The third proportional to 409,080 and 894,720 is: 1,956,888.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,080 : 894,720 = 894,720 : x
  2. Step 2: Convert to fraction form
    409,080/894,720 = 894,720/x
  3. Step 3: Cross multiply
    409,080x = 894,720 × 894,720
  4. Step 4: Simplify right side
    409,080x = 800,523,878,400
  5. Step 5: Solve for x
    x = 800,523,878,400/409,080
  6. Step 6: Final answer
    x = 1,956,888.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.