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Finding the Third Proportional to 961,476 and 1,392,642

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Solution

The third proportional to 961,476 and 1,392,642 is: 2,017,160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,476 : 1,392,642 = 1,392,642 : x
  2. Step 2: Convert to fraction form
    961,476/1,392,642 = 1,392,642/x
  3. Step 3: Cross multiply
    961,476x = 1,392,642 × 1,392,642
  4. Step 4: Simplify right side
    961,476x = 1,939,451,740,164
  5. Step 5: Solve for x
    x = 1,939,451,740,164/961,476
  6. Step 6: Final answer
    x = 2,017,160.84

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.