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Finding the Third Proportional to 417,740 and 883,102

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Solution

The third proportional to 417,740 and 883,102 is: 1,866,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,740 : 883,102 = 883,102 : x
  2. Step 2: Convert to fraction form
    417,740/883,102 = 883,102/x
  3. Step 3: Cross multiply
    417,740x = 883,102 × 883,102
  4. Step 4: Simplify right side
    417,740x = 779,869,142,404
  5. Step 5: Solve for x
    x = 779,869,142,404/417,740
  6. Step 6: Final answer
    x = 1,866,876.87

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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.