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Finding the Third Proportional to 602,670 and 884,322

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Solution

The third proportional to 602,670 and 884,322 is: 1,297,601.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,670 : 884,322 = 884,322 : x
  2. Step 2: Convert to fraction form
    602,670/884,322 = 884,322/x
  3. Step 3: Cross multiply
    602,670x = 884,322 × 884,322
  4. Step 4: Simplify right side
    602,670x = 782,025,399,684
  5. Step 5: Solve for x
    x = 782,025,399,684/602,670
  6. Step 6: Final answer
    x = 1,297,601.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.