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Finding the Third Proportional to 443,154 and 961,476

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Solution

The third proportional to 443,154 and 961,476 is: 2,086,038.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,154 : 961,476 = 961,476 : x
  2. Step 2: Convert to fraction form
    443,154/961,476 = 961,476/x
  3. Step 3: Cross multiply
    443,154x = 961,476 × 961,476
  4. Step 4: Simplify right side
    443,154x = 924,436,098,576
  5. Step 5: Solve for x
    x = 924,436,098,576/443,154
  6. Step 6: Final answer
    x = 2,086,038.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.