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Finding the Third Proportional to 1,276,175.50 and 1,977,006.63

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Solution

The third proportional to 1,276,175.50 and 1,977,006.63 is: 3,062,709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276,175.50 : 1,977,006.63 = 1,977,006.63 : x
  2. Step 2: Convert to fraction form
    1,276,175.50/1,977,006.63 = 1,977,006.63/x
  3. Step 3: Cross multiply
    1,276,175.50x = 1,977,006.63 × 1,977,006.63
  4. Step 4: Simplify right side
    1,276,175.50x = 3,908,555,195,293.89
  5. Step 5: Solve for x
    x = 3,908,555,195,293.89/1,276,175.50
  6. Step 6: Final answer
    x = 3,062,709.79

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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.