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Finding the Third Proportional to 466,920 and 1,055,088

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Solution

The third proportional to 466,920 and 1,055,088 is: 2,384,157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,920 : 1,055,088 = 1,055,088 : x
  2. Step 2: Convert to fraction form
    466,920/1,055,088 = 1,055,088/x
  3. Step 3: Cross multiply
    466,920x = 1,055,088 × 1,055,088
  4. Step 4: Simplify right side
    466,920x = 1,113,210,687,744
  5. Step 5: Solve for x
    x = 1,113,210,687,744/466,920
  6. Step 6: Final answer
    x = 2,384,157.22

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.