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Finding the Third Proportional to 406,968 and 883,966

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Solution

The third proportional to 406,968 and 883,966 is: 1,920,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,968 : 883,966 = 883,966 : x
  2. Step 2: Convert to fraction form
    406,968/883,966 = 883,966/x
  3. Step 3: Cross multiply
    406,968x = 883,966 × 883,966
  4. Step 4: Simplify right side
    406,968x = 781,395,889,156
  5. Step 5: Solve for x
    x = 781,395,889,156/406,968
  6. Step 6: Final answer
    x = 1,920,042.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.