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Finding the Third Proportional to 483,029 and 1,059,369

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Solution

The third proportional to 483,029 and 1,059,369 is: 2,323,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,029 : 1,059,369 = 1,059,369 : x
  2. Step 2: Convert to fraction form
    483,029/1,059,369 = 1,059,369/x
  3. Step 3: Cross multiply
    483,029x = 1,059,369 × 1,059,369
  4. Step 4: Simplify right side
    483,029x = 1,122,262,678,161
  5. Step 5: Solve for x
    x = 1,122,262,678,161/483,029
  6. Step 6: Final answer
    x = 2,323,385.71

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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.