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Finding the Third Proportional to 980,430 and 1,350,108

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Solution

The third proportional to 980,430 and 1,350,108 is: 1,859,175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    980,430 : 1,350,108 = 1,350,108 : x
  2. Step 2: Convert to fraction form
    980,430/1,350,108 = 1,350,108/x
  3. Step 3: Cross multiply
    980,430x = 1,350,108 × 1,350,108
  4. Step 4: Simplify right side
    980,430x = 1,822,791,611,664
  5. Step 5: Solve for x
    x = 1,822,791,611,664/980,430
  6. Step 6: Final answer
    x = 1,859,175.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.