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Finding the Third Proportional to 534,862 and 1,174,706

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Solution

The third proportional to 534,862 and 1,174,706 is: 2,579,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,862 : 1,174,706 = 1,174,706 : x
  2. Step 2: Convert to fraction form
    534,862/1,174,706 = 1,174,706/x
  3. Step 3: Cross multiply
    534,862x = 1,174,706 × 1,174,706
  4. Step 4: Simplify right side
    534,862x = 1,379,934,186,436
  5. Step 5: Solve for x
    x = 1,379,934,186,436/534,862
  6. Step 6: Final answer
    x = 2,579,981.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.