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Finding the Third Proportional to 912,914 and 1,970,167

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Solution

The third proportional to 912,914 and 1,970,167 is: 4,251,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,914 : 1,970,167 = 1,970,167 : x
  2. Step 2: Convert to fraction form
    912,914/1,970,167 = 1,970,167/x
  3. Step 3: Cross multiply
    912,914x = 1,970,167 × 1,970,167
  4. Step 4: Simplify right side
    912,914x = 3,881,558,007,889
  5. Step 5: Solve for x
    x = 3,881,558,007,889/912,914
  6. Step 6: Final answer
    x = 4,251,833.15

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