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Finding the Third Proportional to 948,580.25 and 2,070,514

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Solution

The third proportional to 948,580.25 and 2,070,514 is: 4,519,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,580.25 : 2,070,514 = 2,070,514 : x
  2. Step 2: Convert to fraction form
    948,580.25/2,070,514 = 2,070,514/x
  3. Step 3: Cross multiply
    948,580.25x = 2,070,514 × 2,070,514
  4. Step 4: Simplify right side
    948,580.25x = 4,287,028,224,196
  5. Step 5: Solve for x
    x = 4,287,028,224,196/948,580.25
  6. Step 6: Final answer
    x = 4,519,415.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.