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Finding the Third Proportional to 552,826 and 1,205,708

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Solution

The third proportional to 552,826 and 1,205,708 is: 2,629,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,826 : 1,205,708 = 1,205,708 : x
  2. Step 2: Convert to fraction form
    552,826/1,205,708 = 1,205,708/x
  3. Step 3: Cross multiply
    552,826x = 1,205,708 × 1,205,708
  4. Step 4: Simplify right side
    552,826x = 1,453,731,781,264
  5. Step 5: Solve for x
    x = 1,453,731,781,264/552,826
  6. Step 6: Final answer
    x = 2,629,637.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.