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Finding the Third Proportional to 1,305,416.88 and 1,995,646.04

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Solution

The third proportional to 1,305,416.88 and 1,995,646.04 is: 3,050,828.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,416.88 : 1,995,646.04 = 1,995,646.04 : x
  2. Step 2: Convert to fraction form
    1,305,416.88/1,995,646.04 = 1,995,646.04/x
  3. Step 3: Cross multiply
    1,305,416.88x = 1,995,646.04 × 1,995,646.04
  4. Step 4: Simplify right side
    1,305,416.88x = 3,982,603,128,817.43
  5. Step 5: Solve for x
    x = 3,982,603,128,817.43/1,305,416.88
  6. Step 6: Final answer
    x = 3,050,828.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.