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Finding the Third Proportional to 485,458 and 1,064,228

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Solution

The third proportional to 485,458 and 1,064,228 is: 2,333,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,458 : 1,064,228 = 1,064,228 : x
  2. Step 2: Convert to fraction form
    485,458/1,064,228 = 1,064,228/x
  3. Step 3: Cross multiply
    485,458x = 1,064,228 × 1,064,228
  4. Step 4: Simplify right side
    485,458x = 1,132,581,235,984
  5. Step 5: Solve for x
    x = 1,132,581,235,984/485,458
  6. Step 6: Final answer
    x = 2,333,015.91

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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.