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Finding the Third Proportional to 534,762 and 1,113,628

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Solution

The third proportional to 534,762 and 1,113,628 is: 2,319,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,762 : 1,113,628 = 1,113,628 : x
  2. Step 2: Convert to fraction form
    534,762/1,113,628 = 1,113,628/x
  3. Step 3: Cross multiply
    534,762x = 1,113,628 × 1,113,628
  4. Step 4: Simplify right side
    534,762x = 1,240,167,322,384
  5. Step 5: Solve for x
    x = 1,240,167,322,384/534,762
  6. Step 6: Final answer
    x = 2,319,101.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.