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Finding the Third Proportional to 470,223 and 1,028,655

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Solution

The third proportional to 470,223 and 1,028,655 is: 2,250,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,223 : 1,028,655 = 1,028,655 : x
  2. Step 2: Convert to fraction form
    470,223/1,028,655 = 1,028,655/x
  3. Step 3: Cross multiply
    470,223x = 1,028,655 × 1,028,655
  4. Step 4: Simplify right side
    470,223x = 1,058,131,109,025
  5. Step 5: Solve for x
    x = 1,058,131,109,025/470,223
  6. Step 6: Final answer
    x = 2,250,275.10

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Why These Related Problems?

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