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Finding the Third Proportional to 2,290,464 and 5,174,784

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Solution

The third proportional to 2,290,464 and 5,174,784 is: 11,691,250.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290,464 : 5,174,784 = 5,174,784 : x
  2. Step 2: Convert to fraction form
    2,290,464/5,174,784 = 5,174,784/x
  3. Step 3: Cross multiply
    2,290,464x = 5,174,784 × 5,174,784
  4. Step 4: Simplify right side
    2,290,464x = 26,778,389,446,656
  5. Step 5: Solve for x
    x = 26,778,389,446,656/2,290,464
  6. Step 6: Final answer
    x = 11,691,250.96

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.