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Finding the Third Proportional to 392,210 and 846,628

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Solution

The third proportional to 392,210 and 846,628 is: 1,827,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,210 : 846,628 = 846,628 : x
  2. Step 2: Convert to fraction form
    392,210/846,628 = 846,628/x
  3. Step 3: Cross multiply
    392,210x = 846,628 × 846,628
  4. Step 4: Simplify right side
    392,210x = 716,778,970,384
  5. Step 5: Solve for x
    x = 716,778,970,384/392,210
  6. Step 6: Final answer
    x = 1,827,538.74

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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.