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Finding the Third Proportional to 428,642 and 921,804

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Solution

The third proportional to 428,642 and 921,804 is: 1,982,359.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,642 : 921,804 = 921,804 : x
  2. Step 2: Convert to fraction form
    428,642/921,804 = 921,804/x
  3. Step 3: Cross multiply
    428,642x = 921,804 × 921,804
  4. Step 4: Simplify right side
    428,642x = 849,722,614,416
  5. Step 5: Solve for x
    x = 849,722,614,416/428,642
  6. Step 6: Final answer
    x = 1,982,359.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.