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Finding the Third Proportional to 580,656 and 1,250,298

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Solution

The third proportional to 580,656 and 1,250,298 is: 2,692,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,656 : 1,250,298 = 1,250,298 : x
  2. Step 2: Convert to fraction form
    580,656/1,250,298 = 1,250,298/x
  3. Step 3: Cross multiply
    580,656x = 1,250,298 × 1,250,298
  4. Step 4: Simplify right side
    580,656x = 1,563,245,088,804
  5. Step 5: Solve for x
    x = 1,563,245,088,804/580,656
  6. Step 6: Final answer
    x = 2,692,205.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.