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Finding the Third Proportional to 1,159,133 and 2,511,202

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Solution

The third proportional to 1,159,133 and 2,511,202 is: 5,440,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,133 : 2,511,202 = 2,511,202 : x
  2. Step 2: Convert to fraction form
    1,159,133/2,511,202 = 2,511,202/x
  3. Step 3: Cross multiply
    1,159,133x = 2,511,202 × 2,511,202
  4. Step 4: Simplify right side
    1,159,133x = 6,306,135,484,804
  5. Step 5: Solve for x
    x = 6,306,135,484,804/1,159,133
  6. Step 6: Final answer
    x = 5,440,389.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.