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Finding the Third Proportional to 1,286,700.19 and 2,785,228.03

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Solution

The third proportional to 1,286,700.19 and 2,785,228.03 is: 6,028,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,700.19 : 2,785,228.03 = 2,785,228.03 : x
  2. Step 2: Convert to fraction form
    1,286,700.19/2,785,228.03 = 2,785,228.03/x
  3. Step 3: Cross multiply
    1,286,700.19x = 2,785,228.03 × 2,785,228.03
  4. Step 4: Simplify right side
    1,286,700.19x = 7,757,495,186,060.75
  5. Step 5: Solve for x
    x = 7,757,495,186,060.75/1,286,700.19
  6. Step 6: Final answer
    x = 6,028,984.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.