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Finding the Third Proportional to 1,772,517 and 2,749,819.50

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Solution

The third proportional to 1,772,517 and 2,749,819.50 is: 4,265,971.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772,517 : 2,749,819.50 = 2,749,819.50 : x
  2. Step 2: Convert to fraction form
    1,772,517/2,749,819.50 = 2,749,819.50/x
  3. Step 3: Cross multiply
    1,772,517x = 2,749,819.50 × 2,749,819.50
  4. Step 4: Simplify right side
    1,772,517x = 7,561,507,282,580.25
  5. Step 5: Solve for x
    x = 7,561,507,282,580.25/1,772,517
  6. Step 6: Final answer
    x = 4,265,971.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.