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Finding the Third Proportional to 428,528 and 941,118

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Solution

The third proportional to 428,528 and 941,118 is: 2,066,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,528 : 941,118 = 941,118 : x
  2. Step 2: Convert to fraction form
    428,528/941,118 = 941,118/x
  3. Step 3: Cross multiply
    428,528x = 941,118 × 941,118
  4. Step 4: Simplify right side
    428,528x = 885,703,089,924
  5. Step 5: Solve for x
    x = 885,703,089,924/428,528
  6. Step 6: Final answer
    x = 2,066,849.98

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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.