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Finding the Third Proportional to 1,675,815.75 and 3,587,820.75

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Solution

The third proportional to 1,675,815.75 and 3,587,820.75 is: 7,681,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675,815.75 : 3,587,820.75 = 3,587,820.75 : x
  2. Step 2: Convert to fraction form
    1,675,815.75/3,587,820.75 = 3,587,820.75/x
  3. Step 3: Cross multiply
    1,675,815.75x = 3,587,820.75 × 3,587,820.75
  4. Step 4: Simplify right side
    1,675,815.75x = 12,872,457,734,130.56
  5. Step 5: Solve for x
    x = 12,872,457,734,130.56/1,675,815.75
  6. Step 6: Final answer
    x = 7,681,308.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.