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Finding the Third Proportional to 595,064 and 906,539

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Solution

The third proportional to 595,064 and 906,539 is: 1,381,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,064 : 906,539 = 906,539 : x
  2. Step 2: Convert to fraction form
    595,064/906,539 = 906,539/x
  3. Step 3: Cross multiply
    595,064x = 906,539 × 906,539
  4. Step 4: Simplify right side
    595,064x = 821,812,958,521
  5. Step 5: Solve for x
    x = 821,812,958,521/595,064
  6. Step 6: Final answer
    x = 1,381,049.70

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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.