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Finding the Third Proportional to 832,665 and 1,964,968.50

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Solution

The third proportional to 832,665 and 1,964,968.50 is: 4,637,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,665 : 1,964,968.50 = 1,964,968.50 : x
  2. Step 2: Convert to fraction form
    832,665/1,964,968.50 = 1,964,968.50/x
  3. Step 3: Cross multiply
    832,665x = 1,964,968.50 × 1,964,968.50
  4. Step 4: Simplify right side
    832,665x = 3,861,101,205,992.25
  5. Step 5: Solve for x
    x = 3,861,101,205,992.25/832,665
  6. Step 6: Final answer
    x = 4,637,040.35

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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.