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Finding the Third Proportional to 417,742 and 883,106

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Solution

The third proportional to 417,742 and 883,106 is: 1,866,884.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,742 : 883,106 = 883,106 : x
  2. Step 2: Convert to fraction form
    417,742/883,106 = 883,106/x
  3. Step 3: Cross multiply
    417,742x = 883,106 × 883,106
  4. Step 4: Simplify right side
    417,742x = 779,876,207,236
  5. Step 5: Solve for x
    x = 779,876,207,236/417,742
  6. Step 6: Final answer
    x = 1,866,884.84

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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.