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Finding the Third Proportional to 392,246 and 846,700

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Solution

The third proportional to 392,246 and 846,700 is: 1,827,681.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,246 : 846,700 = 846,700 : x
  2. Step 2: Convert to fraction form
    392,246/846,700 = 846,700/x
  3. Step 3: Cross multiply
    392,246x = 846,700 × 846,700
  4. Step 4: Simplify right side
    392,246x = 716,900,890,000
  5. Step 5: Solve for x
    x = 716,900,890,000/392,246
  6. Step 6: Final answer
    x = 1,827,681.84

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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.