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Finding the Third Proportional to 748,620 and 1,623,352

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Solution

The third proportional to 748,620 and 1,623,352 is: 3,520,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,620 : 1,623,352 = 1,623,352 : x
  2. Step 2: Convert to fraction form
    748,620/1,623,352 = 1,623,352/x
  3. Step 3: Cross multiply
    748,620x = 1,623,352 × 1,623,352
  4. Step 4: Simplify right side
    748,620x = 2,635,271,715,904
  5. Step 5: Solve for x
    x = 2,635,271,715,904/748,620
  6. Step 6: Final answer
    x = 3,520,172.74

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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.