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Finding the Third Proportional to 485,431 and 1,064,174

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Solution

The third proportional to 485,431 and 1,064,174 is: 2,332,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,431 : 1,064,174 = 1,064,174 : x
  2. Step 2: Convert to fraction form
    485,431/1,064,174 = 1,064,174/x
  3. Step 3: Cross multiply
    485,431x = 1,064,174 × 1,064,174
  4. Step 4: Simplify right side
    485,431x = 1,132,466,302,276
  5. Step 5: Solve for x
    x = 1,132,466,302,276/485,431
  6. Step 6: Final answer
    x = 2,332,908.90

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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.