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Finding the Third Proportional to 456,840 and 992,088

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Solution

The third proportional to 456,840 and 992,088 is: 2,154,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,840 : 992,088 = 992,088 : x
  2. Step 2: Convert to fraction form
    456,840/992,088 = 992,088/x
  3. Step 3: Cross multiply
    456,840x = 992,088 × 992,088
  4. Step 4: Simplify right side
    456,840x = 984,238,599,744
  5. Step 5: Solve for x
    x = 984,238,599,744/456,840
  6. Step 6: Final answer
    x = 2,154,449.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.