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Finding the Third Proportional to 480,125 and 1,034,684

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Solution

The third proportional to 480,125 and 1,034,684 is: 2,229,775.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,125 : 1,034,684 = 1,034,684 : x
  2. Step 2: Convert to fraction form
    480,125/1,034,684 = 1,034,684/x
  3. Step 3: Cross multiply
    480,125x = 1,034,684 × 1,034,684
  4. Step 4: Simplify right side
    480,125x = 1,070,570,979,856
  5. Step 5: Solve for x
    x = 1,070,570,979,856/480,125
  6. Step 6: Final answer
    x = 2,229,775.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.