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Finding the Third Proportional to 417,746 and 883,114

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Solution

The third proportional to 417,746 and 883,114 is: 1,866,900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,746 : 883,114 = 883,114 : x
  2. Step 2: Convert to fraction form
    417,746/883,114 = 883,114/x
  3. Step 3: Cross multiply
    417,746x = 883,114 × 883,114
  4. Step 4: Simplify right side
    417,746x = 779,890,336,996
  5. Step 5: Solve for x
    x = 779,890,336,996/417,746
  6. Step 6: Final answer
    x = 1,866,900.79

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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.