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Finding the Third Proportional to 711,936 and 1,559,100

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Solution

The third proportional to 711,936 and 1,559,100 is: 3,414,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,936 : 1,559,100 = 1,559,100 : x
  2. Step 2: Convert to fraction form
    711,936/1,559,100 = 1,559,100/x
  3. Step 3: Cross multiply
    711,936x = 1,559,100 × 1,559,100
  4. Step 4: Simplify right side
    711,936x = 2,430,792,810,000
  5. Step 5: Solve for x
    x = 2,430,792,810,000/711,936
  6. Step 6: Final answer
    x = 3,414,341.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.