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Finding the Third Proportional to 424,668 and 924,264

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Solution

The third proportional to 424,668 and 924,264 is: 2,011,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,668 : 924,264 = 924,264 : x
  2. Step 2: Convert to fraction form
    424,668/924,264 = 924,264/x
  3. Step 3: Cross multiply
    424,668x = 924,264 × 924,264
  4. Step 4: Simplify right side
    424,668x = 854,263,941,696
  5. Step 5: Solve for x
    x = 854,263,941,696/424,668
  6. Step 6: Final answer
    x = 2,011,604.22

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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.