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Finding the Third Proportional to 415,546 and 896,701

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Solution

The third proportional to 415,546 and 896,701 is: 1,934,978.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,546 : 896,701 = 896,701 : x
  2. Step 2: Convert to fraction form
    415,546/896,701 = 896,701/x
  3. Step 3: Cross multiply
    415,546x = 896,701 × 896,701
  4. Step 4: Simplify right side
    415,546x = 804,072,683,401
  5. Step 5: Solve for x
    x = 804,072,683,401/415,546
  6. Step 6: Final answer
    x = 1,934,978.76

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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.