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Finding the Third Proportional to 970,987 and 1,486,049

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Solution

The third proportional to 970,987 and 1,486,049 is: 2,274,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,987 : 1,486,049 = 1,486,049 : x
  2. Step 2: Convert to fraction form
    970,987/1,486,049 = 1,486,049/x
  3. Step 3: Cross multiply
    970,987x = 1,486,049 × 1,486,049
  4. Step 4: Simplify right side
    970,987x = 2,208,341,630,401
  5. Step 5: Solve for x
    x = 2,208,341,630,401/970,987
  6. Step 6: Final answer
    x = 2,274,326.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.