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Finding the Third Proportional to 608,604 and 947,347

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Solution

The third proportional to 608,604 and 947,347 is: 1,474,631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,604 : 947,347 = 947,347 : x
  2. Step 2: Convert to fraction form
    608,604/947,347 = 947,347/x
  3. Step 3: Cross multiply
    608,604x = 947,347 × 947,347
  4. Step 4: Simplify right side
    608,604x = 897,466,338,409
  5. Step 5: Solve for x
    x = 897,466,338,409/608,604
  6. Step 6: Final answer
    x = 1,474,631.02

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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.