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Finding the Third Proportional to 478,030 and 1,040,336

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Solution

The third proportional to 478,030 and 1,040,336 is: 2,264,081.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,030 : 1,040,336 = 1,040,336 : x
  2. Step 2: Convert to fraction form
    478,030/1,040,336 = 1,040,336/x
  3. Step 3: Cross multiply
    478,030x = 1,040,336 × 1,040,336
  4. Step 4: Simplify right side
    478,030x = 1,082,298,992,896
  5. Step 5: Solve for x
    x = 1,082,298,992,896/478,030
  6. Step 6: Final answer
    x = 2,264,081.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.