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Finding the Third Proportional to 428,130 and 941,007

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Solution

The third proportional to 428,130 and 941,007 is: 2,068,283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,130 : 941,007 = 941,007 : x
  2. Step 2: Convert to fraction form
    428,130/941,007 = 941,007/x
  3. Step 3: Cross multiply
    428,130x = 941,007 × 941,007
  4. Step 4: Simplify right side
    428,130x = 885,494,174,049
  5. Step 5: Solve for x
    x = 885,494,174,049/428,130
  6. Step 6: Final answer
    x = 2,068,283.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.