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Finding the Third Proportional to 1,961,201 and 4,232,226

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Solution

The third proportional to 1,961,201 and 4,232,226 is: 9,133,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961,201 : 4,232,226 = 4,232,226 : x
  2. Step 2: Convert to fraction form
    1,961,201/4,232,226 = 4,232,226/x
  3. Step 3: Cross multiply
    1,961,201x = 4,232,226 × 4,232,226
  4. Step 4: Simplify right side
    1,961,201x = 17,911,736,915,076
  5. Step 5: Solve for x
    x = 17,911,736,915,076/1,961,201
  6. Step 6: Final answer
    x = 9,133,044.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.