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Finding the Third Proportional to 478,288 and 1,049,456

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Solution

The third proportional to 478,288 and 1,049,456 is: 2,302,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,288 : 1,049,456 = 1,049,456 : x
  2. Step 2: Convert to fraction form
    478,288/1,049,456 = 1,049,456/x
  3. Step 3: Cross multiply
    478,288x = 1,049,456 × 1,049,456
  4. Step 4: Simplify right side
    478,288x = 1,101,357,895,936
  5. Step 5: Solve for x
    x = 1,101,357,895,936/478,288
  6. Step 6: Final answer
    x = 2,302,708.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.