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Finding the Third Proportional to 642,244 and 1,411,604

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Solution

The third proportional to 642,244 and 1,411,604 is: 3,102,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,244 : 1,411,604 = 1,411,604 : x
  2. Step 2: Convert to fraction form
    642,244/1,411,604 = 1,411,604/x
  3. Step 3: Cross multiply
    642,244x = 1,411,604 × 1,411,604
  4. Step 4: Simplify right side
    642,244x = 1,992,625,852,816
  5. Step 5: Solve for x
    x = 1,992,625,852,816/642,244
  6. Step 6: Final answer
    x = 3,102,599.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.