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Finding the Third Proportional to 967,959 and 1,503,711

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Solution

The third proportional to 967,959 and 1,503,711 is: 2,335,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,959 : 1,503,711 = 1,503,711 : x
  2. Step 2: Convert to fraction form
    967,959/1,503,711 = 1,503,711/x
  3. Step 3: Cross multiply
    967,959x = 1,503,711 × 1,503,711
  4. Step 4: Simplify right side
    967,959x = 2,261,146,771,521
  5. Step 5: Solve for x
    x = 2,261,146,771,521/967,959
  6. Step 6: Final answer
    x = 2,335,994.37

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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.