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Finding the Third Proportional to 832,046 and 1,622,620

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Solution

The third proportional to 832,046 and 1,622,620 is: 3,164,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,046 : 1,622,620 = 1,622,620 : x
  2. Step 2: Convert to fraction form
    832,046/1,622,620 = 1,622,620/x
  3. Step 3: Cross multiply
    832,046x = 1,622,620 × 1,622,620
  4. Step 4: Simplify right side
    832,046x = 2,632,895,664,400
  5. Step 5: Solve for x
    x = 2,632,895,664,400/832,046
  6. Step 6: Final answer
    x = 3,164,363.11

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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.