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Finding the Third Proportional to 392,202 and 846,612

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Solution

The third proportional to 392,202 and 846,612 is: 1,827,506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,202 : 846,612 = 846,612 : x
  2. Step 2: Convert to fraction form
    392,202/846,612 = 846,612/x
  3. Step 3: Cross multiply
    392,202x = 846,612 × 846,612
  4. Step 4: Simplify right side
    392,202x = 716,751,878,544
  5. Step 5: Solve for x
    x = 716,751,878,544/392,202
  6. Step 6: Final answer
    x = 1,827,506.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.