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Finding the Third Proportional to 415,995 and 913,140

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Solution

The third proportional to 415,995 and 913,140 is: 2,004,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,995 : 913,140 = 913,140 : x
  2. Step 2: Convert to fraction form
    415,995/913,140 = 913,140/x
  3. Step 3: Cross multiply
    415,995x = 913,140 × 913,140
  4. Step 4: Simplify right side
    415,995x = 833,824,659,600
  5. Step 5: Solve for x
    x = 833,824,659,600/415,995
  6. Step 6: Final answer
    x = 2,004,410.29

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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.