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Finding the Third Proportional to 411,784 and 889,178

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Solution

The third proportional to 411,784 and 889,178 is: 1,920,029.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,784 : 889,178 = 889,178 : x
  2. Step 2: Convert to fraction form
    411,784/889,178 = 889,178/x
  3. Step 3: Cross multiply
    411,784x = 889,178 × 889,178
  4. Step 4: Simplify right side
    411,784x = 790,637,515,684
  5. Step 5: Solve for x
    x = 790,637,515,684/411,784
  6. Step 6: Final answer
    x = 1,920,029.71

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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.