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Finding the Third Proportional to 585,690 and 1,187,677.50

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Solution

The third proportional to 585,690 and 1,187,677.50 is: 2,408,403.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,690 : 1,187,677.50 = 1,187,677.50 : x
  2. Step 2: Convert to fraction form
    585,690/1,187,677.50 = 1,187,677.50/x
  3. Step 3: Cross multiply
    585,690x = 1,187,677.50 × 1,187,677.50
  4. Step 4: Simplify right side
    585,690x = 1,410,577,844,006.25
  5. Step 5: Solve for x
    x = 1,410,577,844,006.25/585,690
  6. Step 6: Final answer
    x = 2,408,403.50

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.