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Finding the Third Proportional to 2,457,504.75 and 5,387,403.75

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Solution

The third proportional to 2,457,504.75 and 5,387,403.75 is: 11,810,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,504.75 : 5,387,403.75 = 5,387,403.75 : x
  2. Step 2: Convert to fraction form
    2,457,504.75/5,387,403.75 = 5,387,403.75/x
  3. Step 3: Cross multiply
    2,457,504.75x = 5,387,403.75 × 5,387,403.75
  4. Step 4: Simplify right side
    2,457,504.75x = 29,024,119,165,514.06
  5. Step 5: Solve for x
    x = 29,024,119,165,514.06/2,457,504.75
  6. Step 6: Final answer
    x = 11,810,402.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.