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Finding the Third Proportional to 470,448 and 1,034,208

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Solution

The third proportional to 470,448 and 1,034,208 is: 2,273,548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,448 : 1,034,208 = 1,034,208 : x
  2. Step 2: Convert to fraction form
    470,448/1,034,208 = 1,034,208/x
  3. Step 3: Cross multiply
    470,448x = 1,034,208 × 1,034,208
  4. Step 4: Simplify right side
    470,448x = 1,069,586,187,264
  5. Step 5: Solve for x
    x = 1,069,586,187,264/470,448
  6. Step 6: Final answer
    x = 2,273,548.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.