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Finding the Third Proportional to 611,723 and 1,347,862

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Solution

The third proportional to 611,723 and 1,347,862 is: 2,969,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,723 : 1,347,862 = 1,347,862 : x
  2. Step 2: Convert to fraction form
    611,723/1,347,862 = 1,347,862/x
  3. Step 3: Cross multiply
    611,723x = 1,347,862 × 1,347,862
  4. Step 4: Simplify right side
    611,723x = 1,816,731,971,044
  5. Step 5: Solve for x
    x = 1,816,731,971,044/611,723
  6. Step 6: Final answer
    x = 2,969,860.49

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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.