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Finding the Third Proportional to 866,442 and 1,932,106

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Solution

The third proportional to 866,442 and 1,932,106 is: 4,308,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,442 : 1,932,106 = 1,932,106 : x
  2. Step 2: Convert to fraction form
    866,442/1,932,106 = 1,932,106/x
  3. Step 3: Cross multiply
    866,442x = 1,932,106 × 1,932,106
  4. Step 4: Simplify right side
    866,442x = 3,733,033,595,236
  5. Step 5: Solve for x
    x = 3,733,033,595,236/866,442
  6. Step 6: Final answer
    x = 4,308,463.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.