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Finding the Third Proportional to 633,572 and 1,378,678

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Solution

The third proportional to 633,572 and 1,378,678 is: 3,000,058.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,572 : 1,378,678 = 1,378,678 : x
  2. Step 2: Convert to fraction form
    633,572/1,378,678 = 1,378,678/x
  3. Step 3: Cross multiply
    633,572x = 1,378,678 × 1,378,678
  4. Step 4: Simplify right side
    633,572x = 1,900,753,027,684
  5. Step 5: Solve for x
    x = 1,900,753,027,684/633,572
  6. Step 6: Final answer
    x = 3,000,058.44

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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.