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Finding the Third Proportional to 608,587 and 947,327

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Solution

The third proportional to 608,587 and 947,327 is: 1,474,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,587 : 947,327 = 947,327 : x
  2. Step 2: Convert to fraction form
    608,587/947,327 = 947,327/x
  3. Step 3: Cross multiply
    608,587x = 947,327 × 947,327
  4. Step 4: Simplify right side
    608,587x = 897,428,444,929
  5. Step 5: Solve for x
    x = 897,428,444,929/608,587
  6. Step 6: Final answer
    x = 1,474,609.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.