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Finding the Third Proportional to 1,536,633 and 3,353,202

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Solution

The third proportional to 1,536,633 and 3,353,202 is: 7,317,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,633 : 3,353,202 = 3,353,202 : x
  2. Step 2: Convert to fraction form
    1,536,633/3,353,202 = 3,353,202/x
  3. Step 3: Cross multiply
    1,536,633x = 3,353,202 × 3,353,202
  4. Step 4: Simplify right side
    1,536,633x = 11,243,963,652,804
  5. Step 5: Solve for x
    x = 11,243,963,652,804/1,536,633
  6. Step 6: Final answer
    x = 7,317,273.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.