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Finding the Third Proportional to 854,371 and 1,201,616

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Solution

The third proportional to 854,371 and 1,201,616 is: 1,689,993.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,371 : 1,201,616 = 1,201,616 : x
  2. Step 2: Convert to fraction form
    854,371/1,201,616 = 1,201,616/x
  3. Step 3: Cross multiply
    854,371x = 1,201,616 × 1,201,616
  4. Step 4: Simplify right side
    854,371x = 1,443,881,011,456
  5. Step 5: Solve for x
    x = 1,443,881,011,456/854,371
  6. Step 6: Final answer
    x = 1,689,993.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.