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Finding the Third Proportional to 832,044 and 1,622,616

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Solution

The third proportional to 832,044 and 1,622,616 is: 3,164,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,044 : 1,622,616 = 1,622,616 : x
  2. Step 2: Convert to fraction form
    832,044/1,622,616 = 1,622,616/x
  3. Step 3: Cross multiply
    832,044x = 1,622,616 × 1,622,616
  4. Step 4: Simplify right side
    832,044x = 2,632,882,683,456
  5. Step 5: Solve for x
    x = 2,632,882,683,456/832,044
  6. Step 6: Final answer
    x = 3,164,355.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.