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Finding the Third Proportional to 392,239 and 846,686

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Solution

The third proportional to 392,239 and 846,686 is: 1,827,654.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,239 : 846,686 = 846,686 : x
  2. Step 2: Convert to fraction form
    392,239/846,686 = 846,686/x
  3. Step 3: Cross multiply
    392,239x = 846,686 × 846,686
  4. Step 4: Simplify right side
    392,239x = 716,877,182,596
  5. Step 5: Solve for x
    x = 716,877,182,596/392,239
  6. Step 6: Final answer
    x = 1,827,654.01

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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.