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Finding the Third Proportional to 748,678 and 1,623,464

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Solution

The third proportional to 748,678 and 1,623,464 is: 3,520,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,678 : 1,623,464 = 1,623,464 : x
  2. Step 2: Convert to fraction form
    748,678/1,623,464 = 1,623,464/x
  3. Step 3: Cross multiply
    748,678x = 1,623,464 × 1,623,464
  4. Step 4: Simplify right side
    748,678x = 2,635,635,359,296
  5. Step 5: Solve for x
    x = 2,635,635,359,296/748,678
  6. Step 6: Final answer
    x = 3,520,385.75

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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.