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Finding the Third Proportional to 443,674 and 971,310

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Solution

The third proportional to 443,674 and 971,310 is: 2,126,433.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,674 : 971,310 = 971,310 : x
  2. Step 2: Convert to fraction form
    443,674/971,310 = 971,310/x
  3. Step 3: Cross multiply
    443,674x = 971,310 × 971,310
  4. Step 4: Simplify right side
    443,674x = 943,443,116,100
  5. Step 5: Solve for x
    x = 943,443,116,100/443,674
  6. Step 6: Final answer
    x = 2,126,433.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.