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Finding the Third Proportional to 414,160 and 896,024

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Solution

The third proportional to 414,160 and 896,024 is: 1,938,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,160 : 896,024 = 896,024 : x
  2. Step 2: Convert to fraction form
    414,160/896,024 = 896,024/x
  3. Step 3: Cross multiply
    414,160x = 896,024 × 896,024
  4. Step 4: Simplify right side
    414,160x = 802,859,008,576
  5. Step 5: Solve for x
    x = 802,859,008,576/414,160
  6. Step 6: Final answer
    x = 1,938,523.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.