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Finding the Third Proportional to 595,014 and 906,468

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Solution

The third proportional to 595,014 and 906,468 is: 1,380,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,014 : 906,468 = 906,468 : x
  2. Step 2: Convert to fraction form
    595,014/906,468 = 906,468/x
  3. Step 3: Cross multiply
    595,014x = 906,468 × 906,468
  4. Step 4: Simplify right side
    595,014x = 821,684,235,024
  5. Step 5: Solve for x
    x = 821,684,235,024/595,014
  6. Step 6: Final answer
    x = 1,380,949.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.