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Finding the Third Proportional to 1,430,257 and 2,120,633.50

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Solution

The third proportional to 1,430,257 and 2,120,633.50 is: 3,144,250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,430,257 : 2,120,633.50 = 2,120,633.50 : x
  2. Step 2: Convert to fraction form
    1,430,257/2,120,633.50 = 2,120,633.50/x
  3. Step 3: Cross multiply
    1,430,257x = 2,120,633.50 × 2,120,633.50
  4. Step 4: Simplify right side
    1,430,257x = 4,497,086,441,322.25
  5. Step 5: Solve for x
    x = 4,497,086,441,322.25/1,430,257
  6. Step 6: Final answer
    x = 3,144,250.61

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.