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Finding the Third Proportional to 540,493 and 1,251,095

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Solution

The third proportional to 540,493 and 1,251,095 is: 2,895,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,493 : 1,251,095 = 1,251,095 : x
  2. Step 2: Convert to fraction form
    540,493/1,251,095 = 1,251,095/x
  3. Step 3: Cross multiply
    540,493x = 1,251,095 × 1,251,095
  4. Step 4: Simplify right side
    540,493x = 1,565,238,699,025
  5. Step 5: Solve for x
    x = 1,565,238,699,025/540,493
  6. Step 6: Final answer
    x = 2,895,946.29

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.