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Finding the Third Proportional to 1,159,130 and 2,524,203

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Solution

The third proportional to 1,159,130 and 2,524,203 is: 5,496,881.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,130 : 2,524,203 = 2,524,203 : x
  2. Step 2: Convert to fraction form
    1,159,130/2,524,203 = 2,524,203/x
  3. Step 3: Cross multiply
    1,159,130x = 2,524,203 × 2,524,203
  4. Step 4: Simplify right side
    1,159,130x = 6,371,600,785,209
  5. Step 5: Solve for x
    x = 6,371,600,785,209/1,159,130
  6. Step 6: Final answer
    x = 5,496,881.96

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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.