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Finding the Third Proportional to 400,697 and 846,106

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Solution

The third proportional to 400,697 and 846,106 is: 1,786,625.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,697 : 846,106 = 846,106 : x
  2. Step 2: Convert to fraction form
    400,697/846,106 = 846,106/x
  3. Step 3: Cross multiply
    400,697x = 846,106 × 846,106
  4. Step 4: Simplify right side
    400,697x = 715,895,363,236
  5. Step 5: Solve for x
    x = 715,895,363,236/400,697
  6. Step 6: Final answer
    x = 1,786,625.21

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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.