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Finding the Third Proportional to 611,904 and 1,296,748

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Solution

The third proportional to 611,904 and 1,296,748 is: 2,748,070.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,904 : 1,296,748 = 1,296,748 : x
  2. Step 2: Convert to fraction form
    611,904/1,296,748 = 1,296,748/x
  3. Step 3: Cross multiply
    611,904x = 1,296,748 × 1,296,748
  4. Step 4: Simplify right side
    611,904x = 1,681,555,375,504
  5. Step 5: Solve for x
    x = 1,681,555,375,504/611,904
  6. Step 6: Final answer
    x = 2,748,070.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.