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Finding the Third Proportional to 1,780,114.50 and 2,754,648

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Solution

The third proportional to 1,780,114.50 and 2,754,648 is: 4,262,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,114.50 : 2,754,648 = 2,754,648 : x
  2. Step 2: Convert to fraction form
    1,780,114.50/2,754,648 = 2,754,648/x
  3. Step 3: Cross multiply
    1,780,114.50x = 2,754,648 × 2,754,648
  4. Step 4: Simplify right side
    1,780,114.50x = 7,588,085,603,904
  5. Step 5: Solve for x
    x = 7,588,085,603,904/1,780,114.50
  6. Step 6: Final answer
    x = 4,262,695.24

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