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Finding the Third Proportional to 967,613 and 1,353,369

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Solution

The third proportional to 967,613 and 1,353,369 is: 1,892,913.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,613 : 1,353,369 = 1,353,369 : x
  2. Step 2: Convert to fraction form
    967,613/1,353,369 = 1,353,369/x
  3. Step 3: Cross multiply
    967,613x = 1,353,369 × 1,353,369
  4. Step 4: Simplify right side
    967,613x = 1,831,607,650,161
  5. Step 5: Solve for x
    x = 1,831,607,650,161/967,613
  6. Step 6: Final answer
    x = 1,892,913.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.