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Finding the Third Proportional to 430,648 and 920,192

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Solution

The third proportional to 430,648 and 920,192 is: 1,966,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,648 : 920,192 = 920,192 : x
  2. Step 2: Convert to fraction form
    430,648/920,192 = 920,192/x
  3. Step 3: Cross multiply
    430,648x = 920,192 × 920,192
  4. Step 4: Simplify right side
    430,648x = 846,753,316,864
  5. Step 5: Solve for x
    x = 846,753,316,864/430,648
  6. Step 6: Final answer
    x = 1,966,230.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.