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Finding the Third Proportional to 602,946 and 959,770

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Solution

The third proportional to 602,946 and 959,770 is: 1,527,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,946 : 959,770 = 959,770 : x
  2. Step 2: Convert to fraction form
    602,946/959,770 = 959,770/x
  3. Step 3: Cross multiply
    602,946x = 959,770 × 959,770
  4. Step 4: Simplify right side
    602,946x = 921,158,452,900
  5. Step 5: Solve for x
    x = 921,158,452,900/602,946
  6. Step 6: Final answer
    x = 1,527,762.77

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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.