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Finding the Third Proportional to 1,157,007 and 2,513,025

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Solution

The third proportional to 1,157,007 and 2,513,025 is: 5,458,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,007 : 2,513,025 = 2,513,025 : x
  2. Step 2: Convert to fraction form
    1,157,007/2,513,025 = 2,513,025/x
  3. Step 3: Cross multiply
    1,157,007x = 2,513,025 × 2,513,025
  4. Step 4: Simplify right side
    1,157,007x = 6,315,294,650,625
  5. Step 5: Solve for x
    x = 6,315,294,650,625/1,157,007
  6. Step 6: Final answer
    x = 5,458,302.89

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.