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Finding the Third Proportional to 1,438,514.20 and 3,054,348.40

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Solution

The third proportional to 1,438,514.20 and 3,054,348.40 is: 6,485,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,514.20 : 3,054,348.40 = 3,054,348.40 : x
  2. Step 2: Convert to fraction form
    1,438,514.20/3,054,348.40 = 3,054,348.40/x
  3. Step 3: Cross multiply
    1,438,514.20x = 3,054,348.40 × 3,054,348.40
  4. Step 4: Simplify right side
    1,438,514.20x = 9,329,044,121,141.07
  5. Step 5: Solve for x
    x = 9,329,044,121,141.07/1,438,514.20
  6. Step 6: Final answer
    x = 6,485,194.32

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.