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Finding the Third Proportional to 1,854,640.50 and 3,908,539.50

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Solution

The third proportional to 1,854,640.50 and 3,908,539.50 is: 8,237,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854,640.50 : 3,908,539.50 = 3,908,539.50 : x
  2. Step 2: Convert to fraction form
    1,854,640.50/3,908,539.50 = 3,908,539.50/x
  3. Step 3: Cross multiply
    1,854,640.50x = 3,908,539.50 × 3,908,539.50
  4. Step 4: Simplify right side
    1,854,640.50x = 15,276,681,023,060.25
  5. Step 5: Solve for x
    x = 15,276,681,023,060.25/1,854,640.50
  6. Step 6: Final answer
    x = 8,237,003.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.