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Finding the Third Proportional to 443,953 and 958,842

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Solution

The third proportional to 443,953 and 958,842 is: 2,070,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,953 : 958,842 = 958,842 : x
  2. Step 2: Convert to fraction form
    443,953/958,842 = 958,842/x
  3. Step 3: Cross multiply
    443,953x = 958,842 × 958,842
  4. Step 4: Simplify right side
    443,953x = 919,377,980,964
  5. Step 5: Solve for x
    x = 919,377,980,964/443,953
  6. Step 6: Final answer
    x = 2,070,890.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.