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Finding the Third Proportional to 976,323 and 1,511,595

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Solution

The third proportional to 976,323 and 1,511,595 is: 2,340,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,323 : 1,511,595 = 1,511,595 : x
  2. Step 2: Convert to fraction form
    976,323/1,511,595 = 1,511,595/x
  3. Step 3: Cross multiply
    976,323x = 1,511,595 × 1,511,595
  4. Step 4: Simplify right side
    976,323x = 2,284,919,444,025
  5. Step 5: Solve for x
    x = 2,284,919,444,025/976,323
  6. Step 6: Final answer
    x = 2,340,331.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.