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Finding the Third Proportional to 967,577 and 1,353,315

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Solution

The third proportional to 967,577 and 1,353,315 is: 1,892,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,577 : 1,353,315 = 1,353,315 : x
  2. Step 2: Convert to fraction form
    967,577/1,353,315 = 1,353,315/x
  3. Step 3: Cross multiply
    967,577x = 1,353,315 × 1,353,315
  4. Step 4: Simplify right side
    967,577x = 1,831,461,489,225
  5. Step 5: Solve for x
    x = 1,831,461,489,225/967,577
  6. Step 6: Final answer
    x = 1,892,832.81

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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.