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Finding the Third Proportional to 602,904 and 959,706

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Solution

The third proportional to 602,904 and 959,706 is: 1,527,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,904 : 959,706 = 959,706 : x
  2. Step 2: Convert to fraction form
    602,904/959,706 = 959,706/x
  3. Step 3: Cross multiply
    602,904x = 959,706 × 959,706
  4. Step 4: Simplify right side
    602,904x = 921,035,606,436
  5. Step 5: Solve for x
    x = 921,035,606,436/602,904
  6. Step 6: Final answer
    x = 1,527,665.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.