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Finding the Third Proportional to 437,869 and 947,706

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Solution

The third proportional to 437,869 and 947,706 is: 2,051,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,869 : 947,706 = 947,706 : x
  2. Step 2: Convert to fraction form
    437,869/947,706 = 947,706/x
  3. Step 3: Cross multiply
    437,869x = 947,706 × 947,706
  4. Step 4: Simplify right side
    437,869x = 898,146,662,436
  5. Step 5: Solve for x
    x = 898,146,662,436/437,869
  6. Step 6: Final answer
    x = 2,051,176.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.