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Finding the Third Proportional to 611,069 and 1,343,963

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Solution

The third proportional to 611,069 and 1,343,963 is: 2,955,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,069 : 1,343,963 = 1,343,963 : x
  2. Step 2: Convert to fraction form
    611,069/1,343,963 = 1,343,963/x
  3. Step 3: Cross multiply
    611,069x = 1,343,963 × 1,343,963
  4. Step 4: Simplify right side
    611,069x = 1,806,236,545,369
  5. Step 5: Solve for x
    x = 1,806,236,545,369/611,069
  6. Step 6: Final answer
    x = 2,955,863.49

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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.