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Finding the Third Proportional to 2,783,146 and 4,075,210

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Solution

The third proportional to 2,783,146 and 4,075,210 is: 5,967,109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783,146 : 4,075,210 = 4,075,210 : x
  2. Step 2: Convert to fraction form
    2,783,146/4,075,210 = 4,075,210/x
  3. Step 3: Cross multiply
    2,783,146x = 4,075,210 × 4,075,210
  4. Step 4: Simplify right side
    2,783,146x = 16,607,336,544,100
  5. Step 5: Solve for x
    x = 16,607,336,544,100/2,783,146
  6. Step 6: Final answer
    x = 5,967,109.36

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.