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Finding the Third Proportional to 1,681,235.50 and 3,648,251

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Solution

The third proportional to 1,681,235.50 and 3,648,251 is: 7,916,639.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681,235.50 : 3,648,251 = 3,648,251 : x
  2. Step 2: Convert to fraction form
    1,681,235.50/3,648,251 = 3,648,251/x
  3. Step 3: Cross multiply
    1,681,235.50x = 3,648,251 × 3,648,251
  4. Step 4: Simplify right side
    1,681,235.50x = 13,309,735,359,001
  5. Step 5: Solve for x
    x = 13,309,735,359,001/1,681,235.50
  6. Step 6: Final answer
    x = 7,916,639.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.