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Finding the Third Proportional to 434,754 and 927,285

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Solution

The third proportional to 434,754 and 927,285 is: 1,977,802.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,754 : 927,285 = 927,285 : x
  2. Step 2: Convert to fraction form
    434,754/927,285 = 927,285/x
  3. Step 3: Cross multiply
    434,754x = 927,285 × 927,285
  4. Step 4: Simplify right side
    434,754x = 859,857,471,225
  5. Step 5: Solve for x
    x = 859,857,471,225/434,754
  6. Step 6: Final answer
    x = 1,977,802.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.