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Finding the Third Proportional to 518,769 and 1,135,953

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Solution

The third proportional to 518,769 and 1,135,953 is: 2,487,406.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,769 : 1,135,953 = 1,135,953 : x
  2. Step 2: Convert to fraction form
    518,769/1,135,953 = 1,135,953/x
  3. Step 3: Cross multiply
    518,769x = 1,135,953 × 1,135,953
  4. Step 4: Simplify right side
    518,769x = 1,290,389,218,209
  5. Step 5: Solve for x
    x = 1,290,389,218,209/518,769
  6. Step 6: Final answer
    x = 2,487,406.18

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Why These Related Problems?

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