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Finding the Third Proportional to 1,159,078 and 1,773,035

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Solution

The third proportional to 1,159,078 and 1,773,035 is: 2,712,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,078 : 1,773,035 = 1,773,035 : x
  2. Step 2: Convert to fraction form
    1,159,078/1,773,035 = 1,773,035/x
  3. Step 3: Cross multiply
    1,159,078x = 1,773,035 × 1,773,035
  4. Step 4: Simplify right side
    1,159,078x = 3,143,653,111,225
  5. Step 5: Solve for x
    x = 3,143,653,111,225/1,159,078
  6. Step 6: Final answer
    x = 2,712,201.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.