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Finding the Third Proportional to 1,947,128.63 and 4,267,900.13

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Solution

The third proportional to 1,947,128.63 and 4,267,900.13 is: 9,354,785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,128.63 : 4,267,900.13 = 4,267,900.13 : x
  2. Step 2: Convert to fraction form
    1,947,128.63/4,267,900.13 = 4,267,900.13/x
  3. Step 3: Cross multiply
    1,947,128.63x = 4,267,900.13 × 4,267,900.13
  4. Step 4: Simplify right side
    1,947,128.63x = 18,214,971,476,975.02
  5. Step 5: Solve for x
    x = 18,214,971,476,975.02/1,947,128.63
  6. Step 6: Final answer
    x = 9,354,785.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.