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Finding the Third Proportional to 1,426,311 and 1,942,623

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Solution

The third proportional to 1,426,311 and 1,942,623 is: 2,645,835.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426,311 : 1,942,623 = 1,942,623 : x
  2. Step 2: Convert to fraction form
    1,426,311/1,942,623 = 1,942,623/x
  3. Step 3: Cross multiply
    1,426,311x = 1,942,623 × 1,942,623
  4. Step 4: Simplify right side
    1,426,311x = 3,773,784,120,129
  5. Step 5: Solve for x
    x = 3,773,784,120,129/1,426,311
  6. Step 6: Final answer
    x = 2,645,835.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.