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Finding the Third Proportional to 417,738 and 883,098

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Solution

The third proportional to 417,738 and 883,098 is: 1,866,868.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,738 : 883,098 = 883,098 : x
  2. Step 2: Convert to fraction form
    417,738/883,098 = 883,098/x
  3. Step 3: Cross multiply
    417,738x = 883,098 × 883,098
  4. Step 4: Simplify right side
    417,738x = 779,862,077,604
  5. Step 5: Solve for x
    x = 779,862,077,604/417,738
  6. Step 6: Final answer
    x = 1,866,868.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.