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Finding the Third Proportional to 485,456 and 1,064,224

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Solution

The third proportional to 485,456 and 1,064,224 is: 2,333,007.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,456 : 1,064,224 = 1,064,224 : x
  2. Step 2: Convert to fraction form
    485,456/1,064,224 = 1,064,224/x
  3. Step 3: Cross multiply
    485,456x = 1,064,224 × 1,064,224
  4. Step 4: Simplify right side
    485,456x = 1,132,572,722,176
  5. Step 5: Solve for x
    x = 1,132,572,722,176/485,456
  6. Step 6: Final answer
    x = 2,333,007.98

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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.