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Finding the Third Proportional to 409,080 and 883,492

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Solution

The third proportional to 409,080 and 883,492 is: 1,908,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,080 : 883,492 = 883,492 : x
  2. Step 2: Convert to fraction form
    409,080/883,492 = 883,492/x
  3. Step 3: Cross multiply
    409,080x = 883,492 × 883,492
  4. Step 4: Simplify right side
    409,080x = 780,558,114,064
  5. Step 5: Solve for x
    x = 780,558,114,064/409,080
  6. Step 6: Final answer
    x = 1,908,081.83

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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.