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Finding the Third Proportional to 846,192 and 1,762,371

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Solution

The third proportional to 846,192 and 1,762,371 is: 3,670,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,192 : 1,762,371 = 1,762,371 : x
  2. Step 2: Convert to fraction form
    846,192/1,762,371 = 1,762,371/x
  3. Step 3: Cross multiply
    846,192x = 1,762,371 × 1,762,371
  4. Step 4: Simplify right side
    846,192x = 3,105,951,541,641
  5. Step 5: Solve for x
    x = 3,105,951,541,641/846,192
  6. Step 6: Final answer
    x = 3,670,504.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.