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Finding the Third Proportional to 435,822 and 948,840

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Solution

The third proportional to 435,822 and 948,840 is: 2,065,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,822 : 948,840 = 948,840 : x
  2. Step 2: Convert to fraction form
    435,822/948,840 = 948,840/x
  3. Step 3: Cross multiply
    435,822x = 948,840 × 948,840
  4. Step 4: Simplify right side
    435,822x = 900,297,345,600
  5. Step 5: Solve for x
    x = 900,297,345,600/435,822
  6. Step 6: Final answer
    x = 2,065,745.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.