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Finding the Third Proportional to 478,122 and 1,040,364

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Solution

The third proportional to 478,122 and 1,040,364 is: 2,263,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,122 : 1,040,364 = 1,040,364 : x
  2. Step 2: Convert to fraction form
    478,122/1,040,364 = 1,040,364/x
  3. Step 3: Cross multiply
    478,122x = 1,040,364 × 1,040,364
  4. Step 4: Simplify right side
    478,122x = 1,082,357,252,496
  5. Step 5: Solve for x
    x = 1,082,357,252,496/478,122
  6. Step 6: Final answer
    x = 2,263,767.93

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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.