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Finding the Third Proportional to 1,902,782 and 2,609,226

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Solution

The third proportional to 1,902,782 and 2,609,226 is: 3,577,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,782 : 2,609,226 = 2,609,226 : x
  2. Step 2: Convert to fraction form
    1,902,782/2,609,226 = 2,609,226/x
  3. Step 3: Cross multiply
    1,902,782x = 2,609,226 × 2,609,226
  4. Step 4: Simplify right side
    1,902,782x = 6,808,060,319,076
  5. Step 5: Solve for x
    x = 6,808,060,319,076/1,902,782
  6. Step 6: Final answer
    x = 3,577,950.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.