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Finding the Third Proportional to 414,164 and 896,032

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Solution

The third proportional to 414,164 and 896,032 is: 1,938,539.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,164 : 896,032 = 896,032 : x
  2. Step 2: Convert to fraction form
    414,164/896,032 = 896,032/x
  3. Step 3: Cross multiply
    414,164x = 896,032 × 896,032
  4. Step 4: Simplify right side
    414,164x = 802,873,345,024
  5. Step 5: Solve for x
    x = 802,873,345,024/414,164
  6. Step 6: Final answer
    x = 1,938,539.67

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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.