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Finding the Third Proportional to 480,930 and 1,026,196

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Solution

The third proportional to 480,930 and 1,026,196 is: 2,189,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,930 : 1,026,196 = 1,026,196 : x
  2. Step 2: Convert to fraction form
    480,930/1,026,196 = 1,026,196/x
  3. Step 3: Cross multiply
    480,930x = 1,026,196 × 1,026,196
  4. Step 4: Simplify right side
    480,930x = 1,053,078,230,416
  5. Step 5: Solve for x
    x = 1,053,078,230,416/480,930
  6. Step 6: Final answer
    x = 2,189,670.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.