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Finding the Third Proportional to 411,066 and 896,638

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Solution

The third proportional to 411,066 and 896,638 is: 1,955,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,066 : 896,638 = 896,638 : x
  2. Step 2: Convert to fraction form
    411,066/896,638 = 896,638/x
  3. Step 3: Cross multiply
    411,066x = 896,638 × 896,638
  4. Step 4: Simplify right side
    411,066x = 803,959,703,044
  5. Step 5: Solve for x
    x = 803,959,703,044/411,066
  6. Step 6: Final answer
    x = 1,955,792.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.