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Finding the Third Proportional to 411,064 and 896,634

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Solution

The third proportional to 411,064 and 896,634 is: 1,955,784.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,064 : 896,634 = 896,634 : x
  2. Step 2: Convert to fraction form
    411,064/896,634 = 896,634/x
  3. Step 3: Cross multiply
    411,064x = 896,634 × 896,634
  4. Step 4: Simplify right side
    411,064x = 803,952,529,956
  5. Step 5: Solve for x
    x = 803,952,529,956/411,064
  6. Step 6: Final answer
    x = 1,955,784.33

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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.