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Finding the Third Proportional to 400,706 and 846,124

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Solution

The third proportional to 400,706 and 846,124 is: 1,786,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,706 : 846,124 = 846,124 : x
  2. Step 2: Convert to fraction form
    400,706/846,124 = 846,124/x
  3. Step 3: Cross multiply
    400,706x = 846,124 × 846,124
  4. Step 4: Simplify right side
    400,706x = 715,925,823,376
  5. Step 5: Solve for x
    x = 715,925,823,376/400,706
  6. Step 6: Final answer
    x = 1,786,661.10

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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.