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Finding the Third Proportional to 1,973,471 and 4,316,014

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Solution

The third proportional to 1,973,471 and 4,316,014 is: 9,439,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,471 : 4,316,014 = 4,316,014 : x
  2. Step 2: Convert to fraction form
    1,973,471/4,316,014 = 4,316,014/x
  3. Step 3: Cross multiply
    1,973,471x = 4,316,014 × 4,316,014
  4. Step 4: Simplify right side
    1,973,471x = 18,627,976,848,196
  5. Step 5: Solve for x
    x = 18,627,976,848,196/1,973,471
  6. Step 6: Final answer
    x = 9,439,194.62

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