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Finding the Third Proportional to 832,667 and 1,964,973

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Solution

The third proportional to 832,667 and 1,964,973 is: 4,637,050.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,667 : 1,964,973 = 1,964,973 : x
  2. Step 2: Convert to fraction form
    832,667/1,964,973 = 1,964,973/x
  3. Step 3: Cross multiply
    832,667x = 1,964,973 × 1,964,973
  4. Step 4: Simplify right side
    832,667x = 3,861,118,890,729
  5. Step 5: Solve for x
    x = 3,861,118,890,729/832,667
  6. Step 6: Final answer
    x = 4,637,050.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.