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Finding the Third Proportional to 595,922 and 851,282

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Solution

The third proportional to 595,922 and 851,282 is: 1,216,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,922 : 851,282 = 851,282 : x
  2. Step 2: Convert to fraction form
    595,922/851,282 = 851,282/x
  3. Step 3: Cross multiply
    595,922x = 851,282 × 851,282
  4. Step 4: Simplify right side
    595,922x = 724,681,043,524
  5. Step 5: Solve for x
    x = 724,681,043,524/595,922
  6. Step 6: Final answer
    x = 1,216,066.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.